Question

The solid shape is made from a cylinder and a hemisphere.

The radius of the cylinder is equal to the radius of the hemisphere.

The cylinder has a height of 10 cm.

The curved surface area of the hemisphere is 32π cm2.

Work out the total surface area of the solid shape.

Give your answer in terms of π.

Answer 1

The total surface area of the figure is  76π cm²

How to calculate the volume of composite solid

The surface area of the described solid is expressed as:

The surface area of the solid = surface area of cylinder  + surface area of a hemisphere

Curved surface area of hemisphere = 2πr²

32π= 2πr²

16 = r²
r = 4 cm

Sc = 2πr(r+h)
Sc = 2π(4+10)
Sc = 28π cm²

Sh = 3πr²

Sh = 3π(16)
Sh = 48π cm²

total surface area of the figure= 28π cm² + 48π cm²

total surface area of the figure=  76π cm²

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