What is the volume of a sphere with a radius of 25.6cm, rounded to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Volume Formula: To find the volume of a sphere, we use the formula V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.Cube Radius: First, we need to cube the radius. The radius is 25.6 cm, so we calculate 25.6^3. 25.6^3 = 25.6 * 25.6 * 25.6 ≈ 16777.216 cm^3Multiply by Pi: Next, we multiply the cubed radius by π (pi). We will use the approximation π ≈ 3.14159 for this calculation. 16777.216 * π ≈ 16777.216 * 3.14159 ≈ 52704.768 cm^3Multiply by 4/3: Finally, we multiply this result by 4/3 to find the volume of the sphere. (4/3) * 52704.768 ≈ 70272.92267 cm^3Round to Nearest Tenth: Now we round the result to the nearest tenth of a cubic centimeter. 70272.92267 cm^3 rounded to the nearest tenth is 70272.9 cm^3.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the volume of a sphere with a radius of
25.6cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a sphere with a radius of $25.6 \mathrm{~cm}$ , rounded to the nearest tenth of a cubic centimeter? $\newline$ Answer: $\mathrm{cm}^{3}$

View step-by-step help

Home

Math Problems

Grade 7

Convert between customary and metric systems

Full solution

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

25.6 \mathrm{~cm}

, rounded to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Volume Formula: To find the volume of a sphere, we use the formula $V = \frac{4}{3}\pi r^3$ , where $V$ is the volume and $r$ is the radius of the sphere.
Cube Radius: First, we need to cube the radius. The radius is $25.6\,\text{cm}$ , so we calculate $25.6^3$ . $\newline$ $25.6^3 = 25.6 \times 25.6 \times 25.6 \approx 16777.216\,\text{cm}^3$
Multiply by Pi: Next, we multiply the cubed radius by $\pi$ (pi). We will use the approximation $\pi \approx 3.14159$ for this calculation. $\newline$ $16777.216 \times \pi \approx 16777.216 \times 3.14159 \approx 52704.768 \, \text{cm}^3$
Multiply by $4$ / $3$ : Finally, we multiply this result by $\frac{4}{3}$ to find the volume of the sphere. $\newline$ $\left(\frac{4}{3}\right) \times 52704.768 \approx 70272.92267 \, \text{cm}^3$
Round to Nearest Tenth: Now we round the result to the nearest tenth of a cubic centimeter. $\newline$ $70272.92267 \, \text{cm}^3$ rounded to the nearest tenth is $70272.9 \, \text{cm}^3$ .