Volume 3d Shapes Review

Front

What is the formula for the volume of a cone?

Back

Volume = (1/3) * π * r² * h, where r is the radius and h is the height.

Front

How do you find the volume of a cylinder?

Back

Volume = π * r² * h, where r is the radius and h is the height.

Front

What is the volume of a cone with a radius of 3 cm and a height of 9 cm?

Back

Volume = (1/3) * π * (3)² * (9) = 27π cm³.

Front

What is the relationship between diameter and radius?

Back

Radius is half of the diameter. r = d/2.

Front

How do you convert cubic inches to cubic centimeters?

Back

1 in³ = 16.387 cm³.

Front

What is the volume of a cylinder with a diameter of 10 cm and a height of 5 cm?

Back

Volume = π * (5)² * (5) = 125π cm³.

Front

What is the volume of a cone with a base radius of 4 m and a height of 6 m?

Back

Volume = (1/3) * π * (4)² * (6) = 32π m³.

Front

What is the volume of a sphere?

Back

Volume = (4/3) * π * r³.

Front

How do you find the height of a cone using the Pythagorean theorem?

Back

If you know the radius and slant height, use h = √(l² - r²), where l is the slant height.

Front

What is the volume of a cylinder with a radius of 7 inches and a height of 10 inches?

Back

Volume = π * (7)² * (10) = 490π in³.