Volume Cone, Sphere

Front

What is the formula for the volume of a sphere?

Back

The volume V of a sphere is given by the formula V = (4/3)πr³, where r is the radius of the sphere.

Front

How do you calculate the volume of a cone?

Back

The volume V of a cone is calculated using the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.

Front

What is the volume of a sphere with a radius of 11 inches?

Back

The volume is approximately 5,575 in³.

Front

What is the diameter of a cone if its radius is 4 feet?

Back

The diameter d of a cone is twice the radius, so d = 2r = 2(4) = 8 feet.

Front

If a cone has a height of 3 feet and a diameter of 8 feet, what is its volume?

Back

The volume is approximately 50.27 ft³.

Front

What is the relationship between radius and diameter?

Back

The diameter d of a circle (or sphere) is twice the radius r, so d = 2r.

Front

What is the value of π (pi) approximately?

Back

π (pi) is approximately 3.14.

Front

How do you convert the volume of a sphere from cubic inches to cubic feet?

Back

To convert from cubic inches to cubic feet, divide the volume in cubic inches by 1,728 (since 1 cubic foot = 1,728 cubic inches).

Front

What is the volume of a cone with a radius of 3 cm and a height of 10 cm?

Back

The volume is approximately 28.3 cm³.

Front

What is the formula for the volume of a cylinder?

Back

The volume V of a cylinder is given by the formula V = πr²h, where r is the radius of the base and h is the height.