What is the volume of a hemisphere with a radius of 4.3cm, 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, which is V = (4/3)πr^3. Since we are looking for the volume of a hemisphere, we will need to divide the volume of a sphere by 2. The formula for the volume of a hemisphere is therefore V = (1/2)(4/3)πr^3.Substitute Radius: Substitute the given radius of 4.3 cm into the formula for the volume of a hemisphere. V = (1/2)(4/3)π(4.3)^3.Calculate Volume: Calculate the volume using the substituted values. V = (1/2)(4/3)π(4.3)^3 = (1/2)(4/3)π(79.507) ≈ (1/2)(4/3)(3.14159)(79.507).Perform Multiplication: Perform the multiplication. V ≈ (1/2)(4.18879)(79.507) ≈ (2.094395)(79.507) ≈ 166.388 cubic centimeters before rounding.Round Result: Round the result to the nearest tenth of a cubic centimeter. V ≈ 166.4 cm^3.

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What is the volume of a hemisphere with a radius of
4.3cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a hemisphere with a radius of $4.3 \mathrm{~cm}$ , rounded to the nearest tenth of a cubic centimeter? $\newline$ Answer: $\mathrm{cm}^{3}$

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Grade 7

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

4.3 \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, which is $V = \frac{4}{3}\pi r^3$ . Since we are looking for the volume of a hemisphere, we will need to divide the volume of a sphere by $2$ . The formula for the volume of a hemisphere is therefore $V = \frac{1}{2}\left(\frac{4}{3}\pi r^3\right)$ .
Substitute Radius: Substitute the given radius of $4.3\,\text{cm}$ into the formula for the volume of a hemisphere. $V = \left(\frac{1}{2}\right)\left(\frac{4}{3}\right)\pi(4.3)^3$ .
Calculate Volume: Calculate the volume using the substituted values. $V = (\frac{1}{2})(\frac{4}{3})\pi(4.3)^3 = (\frac{1}{2})(\frac{4}{3})\pi(79.507) \approx (\frac{1}{2})(\frac{4}{3})(3.14159)(79.507)$ .
Perform Multiplication: Perform the multiplication. $V \approx (\frac{1}{2})(4.18879)(79.507) \approx (2.094395)(79.507) \approx 166.388$ cubic centimeters before rounding.
Round Result: Round the result to the nearest tenth of a cubic centimeter. $V \approx 166.4$ $\text{cm}^3$ .