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1 . If the total surface are of a hemisphere be 36. sq. cm, then its radius is

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Answer: Option A

Explanation:

The total surface area of a hemisphere is given by the formula:

Surface Area = 2πr^2

where "r" is the radius of the hemisphere.

Given that the total surface area is 36 sq. cm, we can set up the equation:

2πr^2 = 36

Now, solve for "r":

r^2 = 36 / (2π)

r^2 = 18 / π

r = √(18 / π)

To simplify further, we can rationalize the denominator by multiplying both the numerator and denominator by π:

r = √(18π / (π * π))

r = √(18π / π^2)

r = (3√2π) / π

So, the radius of the hemisphere is (3√2π) / π cm.

Now, to express it in a simplified form, we can cancel out π:

r = 3√2 cm

So, the radius of the hemisphere is 3√2 cm.

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