Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.
Option 1: 2772 cm² and 4158 cm²
Option 2: 3772 cm² and 5158 cm²
Option 3: 4770 cm² and 4238 cm²
Option 4: 3072 cm² and 4058 cm²

Question

Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.

Option 1: 2772 cm² and 4158 cm²

Option 2: 3772 cm² and 5158 cm²

Option 3: 4770 cm² and 4238 cm²

Option 4: 3072 cm² and 4058 cm²

Team Careers360 · Accepted Answer

Correct Answer: 2772 cm² and 4158 cm²

Solution : Let the radius of the hemisphere be $r$.
Given, its diameter, $2r=42⇒r=21$
$ herefore$ The curved surface area of a hemisphere $= 2\pi r^2=2×\frac{22}{7}×21^2=2772\ ext{cm}^2$
$ herefore$ The total surface area of a hemisphere $= 3\pi r^2=3×\frac{22}{7}×21^2=4158\ ext{cm}^2$
Hence, the correct answers are 2772 cm² and 4158 cm².

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Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.Option 1: 2772 cm2 and 4158 cm2Option 2: 3772 cm2 and 5158 cm2Option 3: 4770 cm2 and 4238 cm2Option 4: 3072 cm2 and 4058 cm2

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Question : A hemisphere has a 42 cm diameter. Find its curved surface area and the total surface area.
Option 1: 2772 cm² and 4158 cm²
Option 2: 3772 cm² and 5158 cm²
Option 3: 4770 cm² and 4238 cm²
Option 4: 3072 cm² and 4058 cm²