Year 10
Core
Year 10
Core

Surface area problems

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Lesson details

Key learning points

  1. In this lesson, we will use our knowledge of the surface area of a cylinder to solve a variety of worded and diagram-based problems.

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3 Questions

Q1.
Calculate the surface area of the cylinder. Give your answer in terms of π
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(25π + 45) cm²
(50π + 45) cm²
115π cm²
Correct answer: 140π cm²
Q2.
Calculate the surface area of the cylinder. Give your answer to 1 decimal place
An image in a quiz
Correct answer: 1074.4 cm²
1583.4 cm²
2601.2 cm²
820.0 cm²
Q3.
Calculate the surface area of the half cylinder. Give your answer to 1 decimal place
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113.1 cm²
Correct answer: 194.2 cm²
226.2 cm²
282.2 cm²

3 Questions

Q1.
Work out the radius of the cylinders given that the curved surface area is 518.6 metres squared. Give your answer to 1 decimal place.
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2.0 m
3.5 m
Correct answer: 4.1 m
8.2 m
Q2.
Work out the curved surface area of the half cylinder. Give your answer to 1 decimal place.
An image in a quiz
164.9 millimetres squared
288.9 millimetres squared
41.2 millimetres squared
Correct answer: 82.5 millimetres squared
Q3.
The cube and cylinder have the same surface area. Find the height of the cube to 1 decimal place.
An image in a quiz
3.2 cm
62.8 cm
7.2 cm
Correct answer: 7.9 cm