Volume of Cones, Cylinders, Spheres, Pyramids - MATH

Question 1

3 spheres are packed tightly in a box (length=18 in, width = height = diameter of sphere). Find total vol of 3 spheres.

Accepted Answer

108π cubic inches

Question 2

Find the volume of the triangular prism.

Accepted Answer

540 cm3

Question 3

Which formula is used to find the volume of a sphere?

Accepted Answer

V = 4/3πr3

Question 4

The radius of a cone is doubled and the height is left the same. The volume of the new cone is

Accepted Answer

4 times the original volume.

Question 5

What is the volume, in cubic meters, of the sphere with radius = 12 m?

Accepted Answer

2,304π

Question 6

Find the volume of the square pyramid.

Accepted Answer

180 m3

Question 7

What is the best approximation for the volume of the cylinder created by this net (r=3 ft, h=22 ft)?

Accepted Answer

600 cubic feet

Question 8

Given the cylinder has a diameter = 8 inches, height = 15 inches, what is the volume of the cylinder?

Accepted Answer

240π

Question 9

A cylinder has a volume of 360π and a height of 10. What is the diameter of the base?

Accepted Answer

12

Question 10

Find the total surface area of the rectangular pyramid.

Accepted Answer

4900 cm2 (3 s.f.)

Question 11

Given that the cone has volume = 1440 π and radius = 12, what is the height of the cone?

Accepted Answer

30

Question 12

Given that radius = 4 in and height = 8 in, what is the volume of the cone?

Accepted Answer

128π/3

Questions 12