What is the volume of a hemisphere with a diameter of 4.2cm, rounded to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Find Hemisphere Radius: Find the radius of the hemisphere. The diameter of the hemisphere is 4.2 cm. The radius is half of the diameter. Radius = Diameter / 2 Radius = 4.2 cm / 2 Radius = 2.1 cmCalculate Volume Formula: Use the formula for the volume of a sphere to find the volume of the hemisphere. The formula for the volume of a sphere is (4/3)πr^3. Since we want the volume of a hemisphere, we will take half of the volume of a sphere. Volume of hemisphere = (1/2) * (4/3)πr^3Substitute Radius and Calculate: Substitute the radius into the formula and calculate the volume. Volume of hemisphere = (1/2) * (4/3)π(2.1 cm)^3 Volume of hemisphere = (1/2) * (4/3)π(2.1 cm * 2.1 cm * 2.1 cm) Volume of hemisphere = (1/2) * (4/3)π(9.261 cm^3) Volume of hemisphere = (1/2) * (4/3) * 3.14159 * 9.261 cm^3 Volume of hemisphere = (1/2) * 4.18879 * 9.261 cm^3 Volume of hemisphere = 2.094395 * 9.261 cm^3 Volume of hemisphere = 19.396 cm^3 (unrounded)Round Volume Result: Round the result to the nearest tenth of a cubic centimeter. Volume of hemisphere (rounded) = 19.4 cm^3

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What is the volume of a hemisphere with a diameter of
4.2cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a hemisphere with a diameter of $4.2 \mathrm{~cm}$ , 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 diameter of

4.2 \mathrm{~cm}

, rounded to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Find Hemisphere Radius: Find the radius of the hemisphere. $\newline$ The diameter of the hemisphere is $4.2\,\text{cm}$ . The radius is half of the diameter. $\newline$ Radius $=$ Diameter $/$ $2$ $\newline$ Radius $=$ $4.2\,\text{cm}$ $/$ $2$ $\newline$ Radius $=$ $2.1\,\text{cm}$
Calculate Volume Formula: Use the formula for the volume of a sphere to find the volume of the hemisphere. $\newline$ The formula for the volume of a sphere is $(\frac{4}{3})\pi r^3$ . Since we want the volume of a hemisphere, we will take half of the volume of a sphere. $\newline$ Volume of hemisphere = $(\frac{1}{2}) \times (\frac{4}{3})\pi r^3$
Substitute Radius and Calculate: Substitute the radius into the formula and calculate the volume. $\newline$ Volume of hemisphere = $(1/2) \times (4/3)\pi(2.1 \, \text{cm})^3$ $\newline$ Volume of hemisphere = $(1/2) \times (4/3)\pi(2.1 \, \text{cm} \times 2.1 \, \text{cm} \times 2.1 \, \text{cm})$ $\newline$ Volume of hemisphere = $(1/2) \times (4/3)\pi(9.261 \, \text{cm}^3)$ $\newline$ Volume of hemisphere = $(1/2) \times (4/3) \times 3.14159 \times 9.261 \, \text{cm}^3$ $\newline$ Volume of hemisphere = $(1/2) \times 4.18879 \times 9.261 \, \text{cm}^3$ $\newline$ Volume of hemisphere = $2.094395 \times 9.261 \, \text{cm}^3$ $\newline$ Volume of hemisphere = $19.396 \, \text{cm}^3$ (unrounded)
Round Volume Result: Round the result to the nearest tenth of a cubic centimeter. $\newline$ Volume of hemisphere (rounded) = $19.4\,\text{cm}^3$