8th Grade Volume 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

How do you find the height of a cylinder if you know the volume and the diameter?

Back

First, find the radius (r = diameter/2). Then use the formula: height (h) = Volume / (πr²).

Front

What is the formula for the volume of a sphere?

Back

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

Front

What is the formula for the surface area of a sphere?

Back

Surface Area = 4πr², where r is the radius.

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 surface area of a cone?

Back

Surface Area = πr(r + l), where r is the radius and l is the slant height.

Front

If a cylinder has a base diameter of 16 inches, what is its radius?

Back

Radius = diameter / 2 = 16 in / 2 = 8 in.

Front

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

Back

Diameter = 2 × Radius.

Front

How do you convert cubic inches to cubic meters?

Back

1 cubic inch = 0.000016387064 cubic meters.

Front

What is the volume of a cylinder with a radius of 5 inches and a height of 10 inches?

Back

Volume = π(5 in)²(10 in) = 250π in³.