Problem

What is the volume of a hemisphere with a diameter of $4.4 \mathrm{ft}$, rounded to the nearest tenth of a cubic foot?

Solution

Step 1 :Given diameter = 4.4 ft, find the radius: \(r = \frac{d}{2} = \frac{4.4}{2} = 2.2\) ft

Step 2 :Find the volume of a sphere with radius 2.2 ft: \(V_{sphere} = \frac{4}{3} * \pi * r^3 = \frac{4}{3} * \pi * (2.2)^3\)

Step 3 :Calculate the volume of the hemisphere: \(V_{hemisphere} = \frac{V_{sphere}}{2}\)

Step 4 :\(V_{hemisphere} = \frac{\frac{4}{3} * \pi * (2.2)^3}{2}\)

Step 5 :Final Answer: \(\boxed{22.3}\) cubic feet, rounded to the nearest tenth

From Solvely APP
Source: https://solvelyapp.com/problems/10843/

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