GCSE Secondary Maths Age 13-17 - Geometry & Measures: Volume of Shapes - Explained

What two shapes make up the solid object discussed in the video?

• A prism and a cylinder

• A cylinder and a sphere

• A cube and a pyramid

• A hemisphere and a cone

What is the formula for the volume of a cone?

• 2/3 pi r-squared times h

• 1/3 pi r-squared times h

• pi r-squared times h

• 1/2 pi r-squared times h

How is the radius of the cone determined?

• By measuring the height of the cone

• By using the given volume of the cone

• By using the diameter of the hemisphere

• By calculating the surface area of the cone

What is the formula for the volume of a sphere?

• 2/3 pi r-cubed

• 4/3 pi r-cubed

• 1/3 pi r-cubed

• pi r-cubed

How is the volume of the hemisphere calculated?

• By halving the volume of a sphere

• By using the formula for a cylinder

• By using the formula for a cone

• By doubling the volume of a sphere

What is the total volume of the solid shape in terms of pi?

• 756 pi centimeters cubed

• 1000 pi centimeters cubed

• 486 pi centimeters cubed

• 270 pi centimeters cubed

What is the first step in solving the problem according to the marking scheme?

• Finding the volume of the hemisphere

• Equating the volume of the cone with the given volume

• Finding the surface area of the cone

• Calculating the total volume