Question

Find the volume of a hemisphere with radius 7 cm.

Hint:

The volume of a hemisphere is half the volume of a full sphere, and it can be calculated using the formula \( V = \frac{2}{3} \pi r^3 \).

Answer 1

Step 1: Formula for the volume of a hemisphere.}
The formula for the volume of a hemisphere is given by: \[ V = \frac{2}{3} \pi r^3 \]
Step 2: Substitute the value of radius.}
Here, the radius \( r = 7 \, \text{cm} \). \[ V = \frac{2}{3} \pi (7)^3 \]
Step 3: Simplify the expression.}
\[ V = \frac{2}{3} \pi \times 343 \] \[ V = \frac{686}{3} \pi \, \text{cm}^3 \]
Step 4: Approximate the volume.}
Using \( \pi \approx 3.14 \): \[ V \approx \frac{686}{3} \times 3.14 \approx 719.7 \, \text{cm}^3 \] % Final Answer Final Answer:
The volume of the hemisphere is approximately \( 719.7 \, \text{cm}^3 \).