Name: _______________________________ Pd: _______

Mastery Level Questions (Volume)

Find the volume of each figure below.

Water is only filled up 70% of the

way in the cylindrical aquarium

above. What is the volume of

the water (to the nearest tenth

of an inch)?

Solve for x, given the volume.

Find the volume of the concrete

block shown. The holes are 8 in

deep.

Find the area of the shaded cross

section of the sphere when it is

intersected by the plane.

What is the volume inside the box not taken up by the golf balls?

POPCORN A snack stand serves a small order of popcorn in a cone shaped cup and a large order in a cylindrical cup.

a) How many small cups do you have to buy to equal the amount of popcorn in the large container?

b) Which container gives you more porpcorn for your money?

What is the relationship between the volume of the cylinder and the volume of the sphere?

PHD LEVEL QUESTION: The top of gumball machine is an 18 in sphere. The machine holds

a maximum of 3300 gumballs, which leaves 43% of the space in the machine empty. Estimate

the diameter of each gumball.

Find the volume of the frustrum of a pyramid (the remaining portion after the top is cut off). The pyramid has a square base and the lengths are: a = 3, b = 9, h = 16, H = 20.

Write the expression in terms of x for the volume of the 3D figures.

a) b)

Density, Population Density and BTU’s.

Similar Solids: Scale Factor and its effect on Surface Area and Volume