Geometry Questions

The volume of a spherical balloon with radius 2 9 cm is about 102 cm Estimate the volume of a similar balloon with radius 8 7 cm The larger balloon has a volume of about cm

Find the simplified difference quotient for the given function 14 2 f x Find the expression for f x h f x h Do not simplify

Solve the inequality h 2 6h 10 Give your answer in interval notation Enter DNE if there is no solution

2 7 1 If F is 125N and F is 50N and is 60 and 0 is 130 find the resultant force 2 0 0 1 F

vertices at 5 2 and 5 8 and minor axis length 6

all solutions of the equation in the interval cos x pi cosx sqrt 3 0

or downward find any intercepts and f x 1 2 x 2 4x 15 2

The diameter of a planet is about 21 130 mi The diameter of the planet s moon is about 26 of the diameter of the planet What percent of the volume of th the volume of its moon The volume of the planet s moon is of the volume of its planet Round to the nearest whole number as needed

Find the volume of the sphere to the nearest cubic centimeter Select one a 205 cm b 359 cm c 11 494 cm Od 1 437 cm Check 14 cm elect one he volume of a sphere is 5000 m What is the surface area of the sphere to the nearest square meter Sucato a 1 517 m b 195 m c 3 033 m d 62 832 m

Select one a 26 9 mm Ob 4 3 mm c 53 8 mm2 d 2 1 mm O Check A balloon has a circumference of 11 cm Use the circumference to approximate the surface area of the balloon to the nearest square centimeter Select one a 380 cm a circumference of 13mm Round to the nearest tenth b 39 cm c 121 cm d 154 cm

Find the volume of the sphere Give the answer in terms of t and rounded to the nearest cubic foot The volume in terms of is V ft Simplify your answer Type an exact answer in terms of 5 ft

oints A spherical balloon has a 20 in diameter when it is fully inflated Half of the air is let out of the balloon Assume that the balloon remains a sphere a Find the volume of the fully inflated balloon b Find the volume of the half inflated balloon c What is the diameter of the half inflated balloon a The volume of the fully inflated balloon is Simplify your answer Type an exact answer using pi as needed Use integers or fractions for any numbers in the expression

Find the volume of the sphere shown to the right Give an answer in terms of and rounded to the nearest cubic unit The exact volume is in Simplify your answer Type an exact answer in terms of

Find the surface area of a sphere with radius r 7 in S A in Type an exact answer in terms of t

lue of x in the figure 1500 15 alue of x in the figure 3 81 4

35 mm ver eck 18 mm the volume of the triangular prism to the nearest tenth 41 19 cm 18 cm ct one a 2220 7 cm D 6390 8 cm C 3195 4 cm

S ft nswer Check and the volume of the composite figure to the nearest whole number 6 cm 18 cm 10 ft 6 cm 3 cm 12 cm 8 cm

the value of x ne 576 cm 8 cm one ck 18 cm 36 cm 72 cm 9 cm 8 cm me value of x to the nearest tenth e 602 88 cm X 12 cm

Find the volume to the nearest whole number v in Round to the nearest whole number as needed 4 in square

actice In a chemistry lab students use a filter paper cone to filter a liquid The diameter of the cone is 9 5 cm and its height is 8 cm How much liquid will the cone hold when it is full When it is full the cone holds about Round to the nearest tenth as needed cm of liquid

A pyramid shaped building is 843 ft tall with a square base that is 134 ft on each side What is the volume of the pyramid v 1 Round to the nearest tenth as needed

K What is the volume of the square pyramid v cm Round to the nearest tenth as needed 9 cm 9c

K Find the volume of a square pyramid with a height of 10 m and base edges of 6 m 3 V m Round to the nearest tenth as needed

Find the volume of the cylinder in terms of it 8 5 m 17m Select one a 59 5 m b 505 8 m c 373 8 m d 416 5 m Check Find the volume of the cylinder to the nearest tenth 2 mm 10 mm Eelect one O a 502 7 mm Ob 62 8 mm c 125 7 mm 000 mm

Find the volume of the cylinder in terms of Q h 6 in and r 3 in Select one a 27 in 3 b 108 in 3 324 in 3 C FA in 3

10 5 cm Answer Check 12 cm 8 cm Find the volume of the rectangular prism 7 6 m 6 m 10 m

Find the volume of the composite space figure to the right to the nearest whole number The volume of the figure is cm Simplify your answer its 0 of 1 10 cm 3 cm Sa 4 cm 7 C 13

The plane region is revolved completely about the x axis to sweep out a solid of revolution Describe the solid and find its volume in terms of t Describe the solid Choose the correct answer below OA The solid is a cylinder with a radius of 4 OB The solid is a rectangular prism with a base length of 3 OC The solid is a rectangular prism with a base length of 4 OD The solid is a cylinder with a radius of 3 2 2 2 4

Find the volume of the cylinder in terms of and to the nearest tenth The volume in terms of is V in Type an exact answer in terms of 1 in 2 in

Find the surface area of the pyramid to the nearest whole number 5m Select one 10 m a 137 square meters b 125 square meters 128 square meters d 123 square meters C

e lateral area of the cone in terms of T one 80T 96 36 60TT e surface area of the cone in terms of 10 6 AT one 72 80T

Answer Check Find the surface area to the nearest whole number 26 in 10 in 40 in Select one a 2073 in b 3644 in Oc 4273 in d 3958 in

For problems 1 and 2 use the figure below D B How many faces edges and vertices are in the solid Select one a faces 3 edges 5 vertices 3 b faces 6 edges 5 vertices 6 c faces 4 edges 6 vertices 4

3 in J Answer Check 10 in 7m 3 in Use formulas to find the lateral area and surface area of the prism Round your answer to the nearest whole number Select one 7m 7m the nearest whole number a 196 m 343 m b 294 m 343 m c 196 m 294 m

Find the lateral area of the hexagonal pyramid 12 cm cm The lateral area of the pyramid is Do not round until the final answer Then round to the nearest whole number as needed Points 0 of 1 7 3 cm 14 cm

Suppose that a cylinder has a radius of r units and a height of 2r units The lateral area of the cylinder is 64m square units What is the value of r Select one a 8 units b 2 units C 4 units d 16 units Check What is the surface area of the cylinder Round your answer to the nearest square unit Select one a 226 square units b 616 square units c 302 square units d 1809 square units

Find the surface area of the cylinder in terms of 9 in Not drawn to scale Select one 20 in a 522 in b 1008 in c 360 in d 396 in 2

A jewelry store buys small boxes in which to wrap items they sell The diagram below shows one of the boxes Find the lateral area and the surface area of the box to the nearest whole number 1 66 cm 14 cm Not drawn to scale Select one a 70 cm 266 cm b 35 cm2 266 cm c 35 cm2 364 cm d 70 cm2 364 cm 7 cm

Find the surface area of the cylinder in terms of 9 cm Select one Not drawn to scale a 211 5 cm b 504 cm c 382 5 cm d 333 cm 19 cm

Allison is planning to cover the lateral surface of a large cylindrical garbage can with decorative fabric for a theme party The can has a diameter of 3 feet and a height of 3 5 feet How much fabric does she need Round the the nearest square foot Select one a 33 ft b 123 ft c 61 ft d 66 ft2

degrees 7 2TT 3 8 TT 4 For problems 9 10 convert the radian measure to degrees Write your answer as a decimal rounded to the nearest tenth 9 2 4 10 5 7

degrees 2 245 degrees 3 20 degrees 4 95 degrees For problems 5 6 convert the degree measure into radians Write your answer as a decimal rounded to the nearest hundredth 5 75 degrees

Find the first five term of the sequence where 3 S 5 Classify the sequence as arithmatic geometric fib s 9 and s 1 n p n 2

Step 4 Using this data and the z score table what percent of young people spend over 10 hours a day looking at their phone Include the work to justify your answer

A cylindrical can of cocoa has the dimensions shown at the right What is the approximate area available for the label The approximate area available for the label is Round to the nearest square inch as needed 8 in

K The plane region is revolved completely about the given line to sweep out a solid of revolution Describe the solid and find its surface area 10 the y axis Describe the solid Choose the correct answer below cylinder triangular prism square prism circles Ay 8 6 4 2 0 246 8 10

Use Euler s Formula to find the number of faces in a polyhedron with 12 edges and 8 vertices Answer Check Use Euler s Formula to find the number of edges in a polyhedron with 9 faces and 14 vertices Answer Check

problems 7 and 8 use the figure below ify Euler s Formula for the polyhedron ect one a b C d 2 4 4 2 6 6 4 3 5 2 7 7 4 4 6 2 8 8 3 3 4 2 6 6

Use a net to find the surface area of the prism The surface area of the prism is Simplify your answer om 13 cm 6 5 cm

There are five regular polyhedrons They are called regular because all their faces are congruent regular polygons and the same number of faces meet at each vertex They are also called Platonic solids after the Greek philosopher Plato A B Tetrahedron Match each net below with a Platonic solid B D Choose Choose C Choose Choose Hexahedron Octahedron Dodecahedron D C A Icosahedron