Question

Find the TSA of a hemisphere of radius 5 cm.

Answer 1

Hint: In this question, first draw the diagram it will give us a clear picture of what we have to find out, then use the formula of total surface area (TSA) for the hemisphere to get the final answer. So, use this concept to reach the solution of the problem.

Complete step by step solution:
Given radius of the hemisphere \[r = 5{\text{ cm}}\] as shown in the below figure:

We know that the TSA (total surface area) of the hemisphere with radius \[r{\text{ cm}}\] is given by \[S = 3\pi {r^2}\]
So, TSA of a hemisphere of radius 5 cm is given by
\[
   \Rightarrow S = 3\pi {\left( 5 \right)^2} \\
   \Rightarrow S = 3 \times \dfrac{{22}}{7} \times 5 \times 5 \\
   \Rightarrow S = \dfrac{{1650}}{7} \\
  \therefore S = 235.714{\text{ c}}{{\text{m}}^2} \\
\]
Thus, the TSA of a hemisphere of radius 5 cm is \[235.714{\text{ c}}{{\text{m}}^2}\]
Note: In mathematics, a hemisphere is defined as a three-dimensional shape that`s halt of a sphere with one flat, circular side. The TSA (total surface area) of the hemisphere with radius \[r{\text{ cm}}\] is given by \[S = 3\pi {r^2}\].