Geometry Volume and Scale Factor

This object was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of
the cylinder. What is the volume, in cubic centimeters, of the object?

Answer explanation

 $Cylinder\ V=\pi r^2h,\ Cone\ V=\frac{1}{3}\pi r^2h\ \ \ \$  

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet. If the pool is filled with water to 6 inches from the top of the pool, what is the volume, to the nearest cubic foot, of the water in the pool?

• 226

• 452

• 1,018

• 4,072

Answer explanation

There is .5 feet of the pool that does not have water in it.

A cylinder has a diameter of 14 centimeters and a volume of 112π cubic centimeters. What is the height, in

centimeters, of the cylinder?

• 16

• 4

Answer explanation

You are being given the diameter and the volume. Fill the information you have into the formula and solve for h.

A cylinder has a radius of 1.2 inches and a height of 2.9 inches. What is the volume, to the nearest tenth of a cubic inch, of the cylinder?

• 3.6

• 4.4

• 10.6

• 13.1

Answer explanation

 $V=\pi r^2h$  

What is the volume of the larger solid shown ?( round to nearest hundreds, type numerical only)

Two similar rectangular prisms have a scale factor of 4.

If the volume of the smaller prism is 64 cubic units,

then the volume of the larger prism = ___ un³.

• 4096

• 512

• 1024

• 256

The cylinders shown are similar. If the volume of the larger cylinder is 562.5 m³, then what is the volume of the smaller cylinder?

• 288 m³

• 112.5 m³

• 450 m³

• 360 m³

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

• 2:9, 4:81, 8:729

• 2:9, 4:9, 4:81

• 2:9, 4:81, 14:6561

• 2:9, 8:729, 4:81

Find the scale factor of the side lengths of the figure on the left to the figure on the right. HINT: Find the volume ratio first.

• 3/1

• 3240/120

• 27/1

• 1/3

The two figures are similar. Find the scale factor of the figure on the left to the figure on the right. Then find the ratio of surface areas and the ratio of volumes.

• 3:4, 27:8, 9:128

• 3:1, 9:1, 27:1

• 3:1, 9:1, 81:1

• 3:1, 6:1, 9:1