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The ratio of the total surface area of a sphere and a hemisphere of same radius is - Mathematics

MCQ

The ratio of the total surface area of a sphere and a hemisphere of same radius is

Options

  • 2 : 1

  • 3 : 2

  •  4 : 1

  • 4 : 3

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Solution

In the given question,

The total surface area of a sphere (S1) = 4 \[\pi r^2\]

The total surface area of a hemisphere (S2) = 3 \[\pi r^2\]

So the ratio of the total surface area of a sphere and a hemisphere will be,

`S_1/S_2 = (4 pi r^2)/ (3 pi r^2)`

`= 4/3`

Therefore, the ratio of the surface areas is 4: 3 .

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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 21 Surface Areas and Volume of a Sphere
Q 3 | Page 25
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