Volume of Cylinders, Cones, and Spheres Review

Front

What is the formula for the volume of a cylinder?

Back

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

Front

What is the formula for the volume of a cone?

Back

Volume = (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

Volume = (4/3)πr³, where r is the radius.

Front

If the radius of a cylinder is 3 cm and the height is 5 cm, what is its volume?

Back

Volume = π(3)²(5) = 45π cm³ ≈ 141.4 cm³.

Front

What is the volume of a cylinder with a radius of 2 inches and a height of 10 inches?

Back

Volume = π(2)²(10) = 40π in³ ≈ 125.6 in³.

Front

How do you approximate the volume of a cylinder using π = 3.14?

Back

Multiply the area of the base (πr²) by the height (h) and use 3.14 for π.

Front

What is the volume of a cone with a radius of 4 cm and a height of 9 cm?

Back

Volume = (1/3)π(4)²(9) = 48π cm³ ≈ 150.8 cm³.

Front

What is the volume of a sphere with a radius of 5 cm?

Back

Volume = (4/3)π(5)³ = (500/3)π cm³ ≈ 523.6 cm³.

Front

If a cylinder has a volume of 100 cm³ and a height of 10 cm, what is the radius?

Back

Using the formula V = πr²h, rearranging gives r = √(V/(πh)). For V = 100 cm³ and h = 10 cm, r ≈ 1.79 cm.

Front

What is the relationship between the volume of a cone and a cylinder with the same base and height?

Back

The volume of the cone is one-third that of the cylinder.