Question

Find the TSA of a hemisphere of radius 5 centimeter.

Answer 1

HINT:-
Before solving this question, we must know about T.S.A.
T.S.A.: The surface area of a solid object is a measure of the total area that the surface of the object occupies. This is called the T.S.A. or the ‘Total Surface Area’ of that object.
The formula to calculate the T.S.A. of a hemisphere is given below:-
The formula to find the total surface area or the T.S.A. of a Hemisphere = \[3\pi {{r}^{2}}\] square units.
Here, “r” is the length of the radius of the hemisphere.
Complete step by step answer:
Let us now solve this question.
As mentioned in the hint provided above, the formula to calculate the T.S.A. or the ‘Total Surface Area’ of a hemisphere is \[3\pi {{r}^{2}}\] .
Therefore, the total surface area of a hemisphere with radius 5 centimeter = \[3\pi {{r}^{2}}\]
= \[3~\times 3.14\times ~{{5}^{2}}\]
=\[3~\times 3.14~\times 25\]
= 235.71 square cm
Hence, the total surface area or the T.S.A. of the hemisphere is 235.71 square cm.
NOTE:-
One must do all the calculations in this question very carefully.
Also not only in this question, the students must be very careful while solving any such questions as if there is any mistake in the calculus, then the answer can come out to be wrong.