Answer:the radius of the hemisphere with a volume of 324 ft³ is approximately 6.3 feet (to the nearest tenth).
Explanation:
The formula for the volume of a hemisphere is:
V = (2/3) × π × r³, where V is the volume and r is the radius of the hemisphere.
We have been given the volume of the hemisphere as 324 ft³, so we can substitute this into the formula:324 = (2/3) × π × r³
To find the radius r, we need to solve for it. Dividing both sides by (2/3) × π gives:r³ = (324 / ((2/3) × π))r³ = (324 × 3) / (2 × π)r³ = 486 / π
Taking the cube root of both sides gives:r = (486 / π)^(1/3)
Using a calculator to evaluate this expression, we get:r ≈ 6.3