What is the volume of a hemisphere with a radius of 52.6cm, rounded to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Recall Sphere Volume Formula: Recall the formula for the volume of a sphere. The volume of a sphere is given by the formula V = (4/3)πr^3, where r is the radius of the sphere. Since a hemisphere is half of a sphere, we will need to divide the volume of a sphere by 2 to get the volume of a hemisphere.Calculate Sphere Volume: Calculate the volume of a sphere with the given radius. First, we calculate the volume of a full sphere using the radius 52.6 cm. V_sphere = (4/3)π(52.6)^3Perform Sphere Volume Calculation: Perform the calculation for the volume of a sphere. V_sphere = (4/3)π(52.6)^3 = (4/3)π(52.6 * 52.6 * 52.6) V_sphere ≈ (4/3)π(145,973.36) V_sphere ≈ (4/3) * 3.14159 * 145,973.36 V_sphere ≈ 4 * 3.14159 * 36,493.34 V_sphere ≈ 458,905.6 cubic centimetersCalculate Hemisphere Volume: Calculate the volume of the hemisphere. Since a hemisphere is half of a sphere, we divide the volume of the sphere by 2. V_hemisphere = V_sphere / 2 V_hemisphere ≈ 458,905.6 / 2 V_hemisphere ≈ 229,452.8 cubic centimetersRound Hemisphere Volume: Round the volume of the hemisphere to the nearest tenth. V_hemisphere ≈ 229,452.8 cm^3 When rounded to the nearest tenth, the volume is approximately 229,452.8 cm^3, as it is already at the nearest tenth.

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What is the volume of a hemisphere with a radius of
52.6cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a hemisphere with a radius of $52.6 \mathrm{~cm}$ , rounded to the nearest tenth of a cubic centimeter? $\newline$ Answer: $\mathrm{cm}^{3}$

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

52.6 \mathrm{~cm}

, rounded to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Recall Sphere Volume Formula: Recall the formula for the volume of a sphere. $\newline$ The volume of a sphere is given by the formula $V = \frac{4}{3}\pi r^3$ , where $r$ is the radius of the sphere. Since a hemisphere is half of a sphere, we will need to divide the volume of a sphere by $2$ to get the volume of a hemisphere.
Calculate Sphere Volume: Calculate the volume of a sphere with the given radius. $\newline$ First, we calculate the volume of a full sphere using the radius $52.6\,\text{cm}$ . $\newline$ $V_{\text{sphere}} = \frac{4}{3}\pi(52.6)^3$
Perform Sphere Volume Calculation: Perform the calculation for the volume of a sphere. $\newline$ $V_{\text{sphere}} = \frac{4}{3}\pi(52.6)^3 = \frac{4}{3}\pi(52.6 \times 52.6 \times 52.6)$ $\newline$ $V_{\text{sphere}} \approx \frac{4}{3}\pi(145,973.36)$ $\newline$ $V_{\text{sphere}} \approx \frac{4}{3} \times 3.14159 \times 145,973.36$ $\newline$ $V_{\text{sphere}} \approx 4 \times 3.14159 \times 36,493.34$ $\newline$ $V_{\text{sphere}} \approx 458,905.6$ cubic centimeters
Calculate Hemisphere Volume: Calculate the volume of the hemisphere. $\newline$ Since a hemisphere is half of a sphere, we divide the volume of the sphere by $2$ . $\newline$ $V_{\text{hemisphere}} = \frac{V_{\text{sphere}}}{2}$ $\newline$ $V_{\text{hemisphere}} \approx \frac{458,905.6}{2}$ $\newline$ $V_{\text{hemisphere}} \approx 229,452.8$ cubic centimeters
Round Hemisphere Volume: Round the volume of the hemisphere to the nearest tenth. $\newline$ $V_{\text{hemisphere}} \approx 229,452.8\,\text{cm}^3$ $\newline$ When rounded to the nearest tenth, the volume is approximately $229,452.8\,\text{cm}^3$ , as it is already at the nearest tenth.