Question

Find the total surface area of a hemisphere of radius 10 cm. (Use \(\pi\) = 3.14)

Answer 1

We are given the following information:

• Radius of the hemisphere, \( r = 10 \, \text{cm} \)
• \( \pi = 3.14 \)

We are required to find the total surface area of the hemisphere.

Step-by-Step Solution:

1. Formula for the Total Surface Area of a Hemisphere:

The total surface area \( A_{\text{total}} \) of a hemisphere is the sum of the curved surface area and the area of the base. The formula is: \[ A_{\text{total}} = 3 \pi r^2 \] where \( r \) is the radius of the hemisphere.

2. Substituting the Given Values:

Substituting \( r = 10 \, \text{cm} \) and \( \pi = 3.14 \) into the formula: \[ A_{\text{total}} = 3 \times 3.14 \times (10)^2 \] \[ A_{\text{total}} = 3 \times 3.14 \times 100 \] \[ A_{\text{total}} = 942 \, \text{cm}^2 \]

Final Answer:

The total surface area of the hemisphere is: \[ \boxed{942 \, \text{cm}^2} \]