Apply Volume

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

How do you calculate the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

What is the relationship between diameter and radius?

Back

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

Front

If a cylinder has a diameter of 14 inches, what is its radius?

Back

The radius is 7 inches.

Front

How do you find the cost of material based on volume?

Back

Cost = Volume × Cost per cubic unit.

Front

What is the volume of a cylinder with a radius of 7 inches and a height of 16 inches?

Back

V = π(7)²(16) ≈ 1,231.50 cubic inches.

Front

How do you convert cubic inches to cubic centimeters?

Back

1 cubic inch = 16.387 cubic centimeters.

Front

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

Back

V = (4/3)π(5)³ ≈ 523.60 cubic inches.

Front

If a sphere has a volume of 523.60 cubic inches, how much would it cost to make 100 spheres at $0.03 per cubic inch?

Back

Cost = 523.60 × 100 × 0.03 = $1,570.80.

Front

What is the difference in volume between a cylinder and a sphere if the cylinder's volume is 1,231.50 cubic inches and the sphere's volume is 523.60 cubic inches?

Back

Difference = 1,231.50 - 523.60 = 707.90 cubic inches.