$\textit{volume of a hemisphere}\\ V=\cfrac{4\pi r^3}{3}\cdot \cfrac{1}{2}~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ V=486\pi \end{cases}\implies 486\pi =\cfrac{4\pi r^3}{6} \implies 6(486\pi )=4\pi r^3 \\\\\\ \cfrac{6(486\pi )}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies \boxed{9=r} \\\\[-0.35em] ~\dotfill$

$\textit{surface area of a hemisphere}\\\\ SA=4\pi r^2\cdot \cfrac{1}{2}\implies \stackrel{\textit{we know that r = 9}}{SA=2\pi (9)^2}\implies SA=162\pi \implies SA\approx 508.94$

6 0

3 years ago

jon spends 2/8 of his money on food 1/5 of his money on fuel and 2/10 of his money on clothes Estimate what fraction of his mone

andrey2020 [161]

First, you have to make them into decimals to make it easier. 2/8 equals 0.25.
1/5 and 2/10 equal 0.2. 0.2+0.2+0.25 equals 0.65 so if you suppose Jon's money is 1 dollar, he has 35 cents left. In a fraction, 0.35 is 35/100. If you simplify 35/100, it's 7/20.

Answer: Jon has 35/100 or 7/20 or his money left.

I hope it helps!

3 0

3 years ago

5/14 divided by 7/8 as a fraction

Westkost [7]

Answer:

20/49

Step-by-step explanation:

6 0

4 years ago

Read 2 more answers

Find the slant height of the cone. Round to the nearest tenth.

LuckyWell [14K]