GCSE Secondary Maths Age 13-17 - Geometry & Measures: 3D Shapes - Surface Area - Explained

The video tutorial explains how to calculate the total surface area of a solid shape composed of a cylinder and a hemisphere. The teacher guides through the process of finding the radius using the given surface area of the hemisphere, then calculates the surface areas of the cylinder's base and curved part. The final step involves adding these areas to find the total surface area, with emphasis on expressing the answer in terms of π. The tutorial also outlines the marking scheme for the problem.

What is the shape of the solid object described in the problem?

• A cube with a pyramid on top

• A rectangular prism with a dome on top

• A cone with a sphere on top

• A cylinder with a hemisphere on top

How is the radius of the hemisphere determined?

• By calculating the circumference of the base

• By equating the hemisphere's surface area to 32π

• By using the volume of the sphere formula

• By measuring the diameter of the cylinder

What is the formula used to find the area of the base of the cylinder?

• 2π multiplied by the radius

• π multiplied by the radius squared

• π multiplied by the height

• 4π multiplied by the radius squared

How is the curved surface area of the cylinder calculated?

• By multiplying the circumference by the height

• By multiplying the height by the diameter

• By using the volume formula of the cylinder

• By adding the base area to the height

What is the total surface area of the solid shape?

• 128π centimeters squared

• 100π centimeters squared

• 200π centimeters squared

• 150π centimeters squared

How many marks are allocated for finding the surface area of the curved part of the cylinder?

• One mark

• Four marks

• Two marks

• Three marks

What is the key information needed to solve the problem?

• The surface area of the hemisphere

• The height of the cylinder

• The volume of the sphere

• The diameter of the base