Discuss Forum
1. If the total surface are of a hemisphere be 36. sq. cm, then its radius is
- A. 3√2 cm
- B. 3√2 cm
- C. 3√2 cm
- D. 3√2 cm
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.
Post your comments here: