Volume of cylinders, Cones and 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

How do you find the height of a cylinder given its volume and radius?

Back

Rearrange the volume formula: h = V / (πr²).

Front

What is the formula for the volume of a sphere?

Back

V = (4/3)πr³, where r is the radius.

Front

How do you find the radius of a sphere given its volume?

Back

Rearrange the volume formula: r = (3V / (4π))^(1/3).

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

How do you find the diameter of a sphere given its volume?

Back

First find the radius using r = (3V / (4π))^(1/3), then multiply by 2.

Front

What is the relationship between radius and diameter?

Back

Diameter = 2 × Radius.

Front

What is the volume of a cylinder with a radius of 8 yd and a height of 2 yd?

Back

V = π(8)²(2) = 128π yd³.

Front

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

Back

V = (4/3)π(5)³ = (500/3)π m³.

Front

How do you express the volume of a solid in terms of pi?

Back

Calculate the volume normally and leave π in the answer, e.g., 360π.