#4-4: Volume - Cylinders, Cones & Spheres

Front

What is the formula for the volume of a cylinder?

Back

V = πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a cone?

Back

V = (1/3)πr²h, where r is the radius and h is the height.

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

If a cone has a radius of 3 cm and a height of 9 cm, what is its volume?

Back

V = (1/3)π(3)²(9) = 27π cm³.

Front

What is the relationship between the diameter and radius of a circle?

Back

The radius is half of the diameter (r = d/2).

Front

How do you find the volume of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

First, find the radius (r = 5 cm). Then, V = π(5)²(5) = 125π cm³.

Front

What is the volume of a sphere with a radius of 6 cm?

Back

V = (4/3)π(6)³ = 288π cm³.

Front

How do you convert the diameter of a cylinder to radius?

Back

Divide the diameter by 2.

Front

What is the volume of a cone with a base radius of 4 cm and a height of 12 cm?

Back

V = (1/3)π(4)²(12) = 64π cm³.

Front

What is the volume of a cylinder with a radius of 3 m and a height of 10 m?

Back

V = π(3)²(10) = 90π m³.