Question

The total surface area of a solid hemisphere is 5940 cm2. Find the diameter of the hemisphere.

Answer 1

The diameter of the hemisphere is 28.31 cm.

Step-by-step explanation:

Since we have given that

Total surface area of hemisphere = 5940 sq. cm

As we know that

Total surface area is given by

$5940=\dfrac{2}{3}\pi r^3\\\\\dfrac{5940\times 3\times 7}{2\times 22}=r^3\\\\r^3=2835\\\\r=\sqrt[3]{2835}\\\\ r=14.15$

Diameter = $2r=2\times 14.15=28.31\ cm$

Hence, the diameter of the hemisphere is 28.31 cm.

# learn more:

The total surface area of a solid hemisphere is 5940 cm square . Find the diameter of the hemisphere.

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