The diagram shows a solid made from a cylinder and a hemisphere, both of radius $$$7 \mathrm{~cm}$$$. The cylinder has length $$$12 \mathrm{~cm}$$$. Work out the total surface area of the solid. [The surface area, $$$A$$$, of a sphere with radius $$$r$$$ is $$$A=4 \pi r^{2}$$$.]

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_w20_qp_21 Year：2020 Question No：18

Answer:

990 or $989.58$ to $989.73$

Knowledge points:

E5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)

E5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)

Solution:

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The diagram shows a solid made from a cylinder and a hemisphere, both of radius $$\(7 \mathrm{~cm}\)$$. The cylinder has length $$\(12 \mathrm{~cm}\)$$. Work out the total surface area of the solid. [The surface area, $$\(A\)$$, of a sphere with radius $$\(r\)$$ is $$\(A=4 \pi r^{2}\)$$.]

Answer:

Knowledge points:

Solution:

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