What is the volume of a hemisphere with a diameter of 3.4ft, rounded to the nearest tenth of a cubic foot? Answer: ft^(3)

Find Radius: Find the radius of the hemisphere. The diameter of the hemisphere is 3.4 feet. The radius is half of the diameter. Radius = Diameter / 2 Radius = 3.4 ft / 2 Radius = 1.7 ftCalculate Full Sphere Volume: Calculate the volume of a full sphere using the radius. The formula for the volume of a sphere is (4/3)πr^3. Volume of a full sphere = (4/3)π(1.7 ft)^3Perform Calculation: Perform the calculation for the volume of a full sphere. Volume of a full sphere = (4/3)π(1.7 ft)^3 Volume of a full sphere = (4/3)π(4.913 ft^3) Volume of a full sphere = (4/3) * π * 4.913 ft^3 Volume of a full sphere ≈ (4/3) * 3.14159 * 4.913 ft^3 Volume of a full sphere ≈ 25.836 ft^3Calculate Hemisphere Volume: Calculate the volume of the hemisphere. Since a hemisphere is half of a sphere, we divide the volume of the full sphere by 2. Volume of the hemisphere = Volume of the full sphere / 2 Volume of the hemisphere ≈ 25.836 ft^3 / 2 Volume of the hemisphere ≈ 12.918 ft^3Round Volume: Round the volume of the hemisphere to the nearest tenth. Volume of the hemisphere ≈ 12.9 ft^3 (rounded to the nearest tenth)

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What is the volume of a hemisphere with a diameter of
3.4ft, rounded to the nearest tenth of a cubic foot?
Answer:
ft^(3)

What is the volume of a hemisphere with a diameter of $3.4 \mathrm{ft}$ , rounded to the nearest tenth of a cubic foot? $\newline$ Answer: $\mathrm{ft}^{3}$

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Math Problems

Grade 7

Convert between customary and metric systems

Full solution

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

3.4 \mathrm{ft}

, rounded to the nearest tenth of a cubic foot?

\newline

Answer:

\mathrm{ft}^{3}

Find Radius: Find the radius of the hemisphere. $\newline$ The diameter of the hemisphere is $3.4$ feet. The radius is half of the diameter. $\newline$ Radius $=$ Diameter $/$ $2$ $\newline$ Radius $=$ $3.4$ ft $/$ $2$ $\newline$ Radius $=$ $1.7$ ft
Calculate Full Sphere Volume: Calculate the volume of a full sphere using the radius. $\newline$ The formula for the volume of a sphere is $(\frac{4}{3})\pi r^3$ . $\newline$ Volume of a full sphere = $(\frac{4}{3})\pi(1.7 \text{ ft})^3$
Perform Calculation: Perform the calculation for the volume of a full sphere. $\newline$ Volume of a full sphere = $(\frac{4}{3})\pi(1.7 \text{ ft})^3$ $\newline$ Volume of a full sphere = $(\frac{4}{3})\pi(4.913 \text{ ft}^3)$ $\newline$ Volume of a full sphere = $(\frac{4}{3}) \times \pi \times 4.913 \text{ ft}^3$ $\newline$ Volume of a full sphere \approx $(\frac{4}{3}) \times 3.14159 \times 4.913 \text{ ft}^3$ $\newline$ Volume of a full sphere \approx $25$ . $836$ \text{ ft}^ $3$
Calculate Hemisphere Volume: Calculate the volume of the hemisphere. $\newline$ Since a hemisphere is half of a sphere, we divide the volume of the full sphere by $2$ . $\newline$ Volume of the hemisphere = Volume of the full sphere $/ 2$ $\newline$ Volume of the hemisphere $\approx 25.836 \, \text{ft}^3 / 2$ $\newline$ Volume of the hemisphere $\approx 12.918 \, \text{ft}^3$
Round Volume: Round the volume of the hemisphere to the nearest tenth. $\newline$ Volume of the hemisphere $\approx 12.9 \, \text{ft}^3$ (rounded to the nearest tenth)