Task Sets: Know the formulas for the volumes of cones, cylinders, and spheres - Common Core Math - Grade 8

Recall / Warm-Up

What is the area of a circle with radius $r$ ?

$\pi r^2$

$2\pi r$

$\pi r^3$

$\pi r$

A rectangular prism has a base area of $12$ square cm and a height of $5$ cm. Its volume equals base area times height. What is its volume, in cubic cm?

What is the value of $4^3$ ?

$64$

$12$

$16$

$7$

Fluency Practice

$A vertical cylinder with radius labeled 3 and height labeled 7.$

Find the volume of the cylinder shown. Leave your answer in terms of $\pi$ (for example, $63\pi$ ).

A cylinder has diameter $10$ cm and height $4$ cm. What is its volume?

$100\pi$ cubic cm

$400\pi$ cubic cm

$40\pi$ cubic cm

$200\pi$ cubic cm

$A cone with base radius labeled 5 and height labeled 12.$

Find the volume of the cone shown. Leave your answer in terms of $\pi$ .

$A sphere with radius labeled 3.$

Find the volume of the sphere shown. Leave your answer in terms of $\pi$ .

$A sphere with radius labeled 2.$

A sphere has radius $2$ cm. What is its volume?

$\frac{32}{3}\pi$ cubic cm

$\frac{16}{3}\pi$ cubic cm

$\frac{24}{3}\pi$ cubic cm

$\frac{8}{3}\pi$ cubic cm

Exercises: Volume Formulas for Cylinders, Cones, and Spheres

Recall / Warm-Up

Fluency Practice