What is the volume of a hemisphere with a radius of 6.5in, rounded to the nearest tenth of a cubic inch?

Calculate Sphere Volume: Calculate the volume of a full sphere using the formula $ V = \frac{4}{3} \pi r^3 $ where $ r = 6.5 $ inches. Calculation: $ V = \frac{4}{3} \pi (6.5)^3 $ $ V = \frac{4}{3} \pi (274.625) $ $ V = 364.953 \pi $Divide by 2: Since we need the volume of a hemisphere, divide the volume of the sphere by 2. Calculation: Hemisphere volume $ = \frac{364.953 \pi}{2} $ $ = 182.4765 \pi $ $ = 573.223 $ (using $ \pi \approx 3.14159 $)Round to Nearest Tenth: Round the result to the nearest tenth. Calculation: Rounded volume $ = 573.2 $ cubic inches.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the volume of a hemisphere with a radius of
6.5in, rounded to the nearest tenth of a cubic inch?

What is the volume of a hemisphere with a radius of $6.5 \mathrm{in}$ , rounded to the nearest tenth of a cubic inch?

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 hemisphere with a radius of

6.5 \mathrm{in}

, rounded to the nearest tenth of a cubic inch?

Calculate Sphere Volume: Calculate the volume of a full sphere using the formula $V = \frac{4}{3} \pi r^3$ where $r = 6.5$ inches. $\newline$ Calculation: $V = \frac{4}{3} \pi (6.5)^3$ $\newline$ $V = \frac{4}{3} \pi (274.625)$ $\newline$ $V = 364.953 \pi$
Divide by $2$ : Since we need the volume of a hemisphere, divide the volume of the sphere by $2$ . $\newline$ Calculation: Hemisphere volume $= \frac{364.953 \pi}{2}$ $\newline$ $= 182.4765 \pi$ $\newline$ $= 573.223$ (using $\pi \approx 3.14159$ )
Round to Nearest Tenth: Round the result to the nearest tenth. $\newline$ Calculation: Rounded volume $= 573.2$ cubic inches.