GCSE Maths - Calculate Volume of Spheres and Hemispheres #111

The video tutorial explains how to calculate the volume of spheres and hemispheres using specific formulas. It demonstrates the calculation of a sphere's volume with a given radius and shows how to find a hemisphere's volume by halving the sphere's volume or using a dedicated formula. Additionally, it covers solving for a sphere's radius when the volume is known, using algebraic manipulation of the volume formula.

What is the formula to calculate the volume of a sphere?

• π R^2

• 2/3 π R^3

• 4/3 π R^3

• 4 π R^2

If a sphere has a radius of 5 cm, what is its volume?

• 314 cubic centimeters

• 157 cubic centimeters

• 524 cubic centimeters

• 262 cubic centimeters

How do you calculate the volume of a hemisphere?

• Multiply the radius by π

• Use the sphere formula and divide by 2

• Use the formula π R^2

• Use the formula 4/3 π R^3

What is the formula for the volume of a hemisphere?

• π R^2

• 4 π R^2

• 2/3 π R^3

• 4/3 π R^3

Given a sphere with a volume of 113 cubic centimeters, what is its radius?

• 5 cm

• 3 cm

• 4 cm

• 2 cm