Volume of Cylinders, Cones, Pyramids, and Spheres

Volume of Sphere, Cones, and Pyramids

By Cassie Bartley

Pyramids can be described in terms of height and the area of it’s base

​You name the pyramid based on the shape of the base.

Multiple Choice

What is the shape of the base?

• Rectangle

• Triangle

• Circle

• Trapezoid

Multiple Choice

What is the shape of the base?

• Square

• Circle

• Triangle

• Hexagon

Multiple Choice

What is the height of the pyramid?

$$V=\frac{1}{3}lwh$$  

• 10cm

• 6cm

• 11cm

Multiple Choice

What is the volume of rectangular pyramid?

$$V=\frac{1}{3}lwh$$  

• 660 cm^3

• 220 cm^3

• 330 cm^3

• 110 cm^3

Multiple Choice

Solve for the volume of the rectangular pyramid

$$V=\frac{1}{3}lwh$$  

• 360 ft^3

• 1080 ft^3

• 180 ft^

• 216 ft^3

Multiple Choice

Solve for the volume of the rectangular pyramid

$$V=\frac{1}{3}lwh$$  

• 192 cm^3

• 576 cm^3

• 288 cm^3

• 96 cm^3

Cones

Multiple Choice

What is the radius of the cone?

• 3 in

• 8 in

• 36 in

Multiple Choice

Find the volume of the cone.

$$V=\frac{1}{3}\pi r^2h$$  

• 113.1 in³

• 37.7 in³

• 339.3 in³

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

$$V=\frac{1}{3}\pi r^2h$$  

• 14.13 in³

• 56.52 in³

• 169.56 in³

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

$$V=\frac{1}{3}\pi r^2h$$  

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

$$V=\frac{1}{3}\pi r^2h$$  

• 399.9 ft³

• 1,199.9 ft³

• 85.1 ft³

• 324 ft³

Multiple Choice

Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.

$$V=\frac{1}{3}\pi r^2h$$  

• 340.2 mm³

• 1020.5 mm³

• 68.0 mm³

Spheres

Multiple Choice

Find the volume of the given sphere.

$$V=\frac{4}{3}\pi r^3$$  

• 1,4679.8 cubic km

• 995.6 cubic km

• 1,000.9 cubic km

• 1,150.3 cubic km

Multiple Choice

Find the volume of the given sphere.

$$V=\frac{4}{3}\pi r^3$$  

• 418.7 cubic ft

• 3,984.6 cubic ft

• 4,188.8 cubic ft

• 4,319.8 cubic ft

Multiple Choice

What is the volume of a sphere with a radius of 4 inches? Use 3.14 for pi.

$$V=\frac{4}{3}\pi r^3$$  

• 561.5 in³

• 267.9 in³

• 201 in³

• 803.8 in³

Multiple Choice

Find the volume of the given sphere.

$$V=\frac{4}{3}\pi r^3$$  

Be sure to divide the diameter by 2 first

• 1,563.5 cubic in.

• 1,325.5 cubic in.

• 1,129.9 cubic in.

• 1,819.6 cubic in.

Multiple Choice

The formula for the Volume of ...

• Spheres
• Cones
• Cylinders

Multiple Choice

What shape is this?

• Cylinder
• Cone
• Sphere

Multiple Choice

How do you find the volume of a cone?

• V= ^1/₃ πr²h
• V= ^4/₃ πr²h
• V= ^4/₃ πr³
• V= πr²h

Multiple Choice

Find the volume of the given hemisphere.

$$V=\frac{4}{3}\pi r^3$$  

• 1,216.7 cubic in.

• 879.6 cubic in.

• 991.4 cubic in.

• 1,072.3 cubic in.

Multiple Choice

What is the volume of this rectangular prism?

$$V=lwh$$  

• 30 ft³

• 36 ft³

• 12 ft³

Multiple Choice

What is the volume of this rectangular prism?

$$V=lwh$$  

• 20 in³

• 9 in³

• 25 in³

Multiple Choice

Find the volume of the cylinder.

$$V=\pi r^2h$$  

• 4239
• 1696
• 1130
• 565

Multiple Choice

Find the volume of the cylinder.

$$V=\pi r^2h$$  

• 282.6
• 516.2
• 133
• 214