What is the volume of a sphere with a radius of 5.3cm, rounded to the nearest tenth of a cubic centimeter? Answer: cm^(3)

Recall Formula: Recall the formula for the volume of a sphere. The formula for the volume of a sphere is V = (4/3)πr^3, where V is the volume and r is the radius of the sphere.Substitute Radius: Substitute the given radius into the formula. Radius (r) = 5.3 cm Volume (V) = (4/3)π(5.3 cm)^3Calculate Volume: Calculate the volume using the given radius. V = (4/3)π(5.3 cm)^3 V = (4/3)π(5.3 cm * 5.3 cm * 5.3 cm) V = (4/3)π(148.877 cm^3) V ≈ (4/3) * 3.14159 * 148.877 cm^3 V ≈ 4 * 3.14159 * 49.6257 cm^3 V ≈ 623.223 cm^3Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic centimeter. V ≈ 623.2 cm^3 (rounded to the nearest tenth)

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
5.3cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
cm^(3)

What is the volume of a sphere with a radius of $5.3 \mathrm{~cm}$ , 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

5.3 \mathrm{~cm}

, rounded to the nearest tenth of a cubic centimeter?

\newline

Answer:

\mathrm{cm}^{3}

Recall Formula: Recall the formula for the volume of a sphere. $\newline$ The formula for the volume of a sphere is $V = \frac{4}{3}\pi r^3$ , where $V$ is the volume and $r$ is the radius of the sphere.
Substitute Radius: Substitute the given radius into the formula. $\newline$ Radius $r = 5.3\, \text{cm}$ $\newline$ Volume $V = \frac{4}{3}\pi(5.3\, \text{cm})^3$
Calculate Volume: Calculate the volume using the given radius. $\newline$ $V = \frac{4}{3}\pi(5.3 \, \text{cm})^3$ $\newline$ $V = \frac{4}{3}\pi(5.3 \, \text{cm} \times 5.3 \, \text{cm} \times 5.3 \, \text{cm})$ $\newline$ $V = \frac{4}{3}\pi(148.877 \, \text{cm}^3)$ $\newline$ $V \approx \frac{4}{3} \times 3.14159 \times 148.877 \, \text{cm}^3$ $\newline$ $V \approx 4 \times 3.14159 \times 49.6257 \, \text{cm}^3$ $\newline$ $V \approx 623.223 \, \text{cm}^3$
Round to Nearest Tenth: Round the volume to the nearest tenth of a cubic centimeter. $\newline$ $V \approx 623.2$ cm $^3$ (rounded to the nearest tenth)