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What is the volume of a hemisphere with a radius of
26.7m, rounded to the nearest tenth of a cubic meter?

What is the volume of a hemisphere with a radius of $26.7 \mathrm{~m}$ , rounded to the nearest tenth of a cubic meter?

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Convert between customary and metric systems

Full solution

Q. What is the volume of a hemisphere with a radius of

26.7 \mathrm{~m}

, rounded to the nearest tenth of a cubic meter?

Calculate Full Sphere Volume: The formula for the volume of a sphere is $(\frac{4}{3})\pi r^3$ . Since we want the volume of a hemisphere, we'll take half of that.
Calculate Volume of Full Sphere: First, calculate the volume of a full sphere with radius $26.7\,\text{m}$ : $\left(\frac{4}{3}\right)\pi(26.7)^3$ .
Divide by $2$ : Now, do the math: $(\frac{4}{3})\pi(26.7)^3 = (\frac{4}{3})\pi(19044.743) \approx 252,709.9$ cubic meters for the full sphere.
Round to Nearest Tenth: Since we need the volume of a hemisphere, divide the volume of the sphere by $2$ : $252,709.9 / 2 \approx 126,354.95$ cubic meters.
Round to Nearest Tenth: Since we need the volume of a hemisphere, divide the volume of the sphere by $2$ : $252,709.9 / 2 \approx 126,354.95$ cubic meters.Round the result to the nearest tenth: $126,354.95 \approx 126,354.9$ cubic meters.

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