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3 years ago

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder

Mathematics

2 answers:

oee [108]3 years ago

5 0

V = πr²h
V = π×12²×9
V = π×144×9
V = 1296π m³

irina [24]3 years ago

4 0

The exact volume would be 21

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Step-by-step explanation:

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$\dfrac{\sqrt{40}\cdot \sqrt{40}}{2}$

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2 years ago

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phyllis invested 66000 dollars, a portion earning simple interest rate of 5% per year and the rest earning a rate of 7% per year

Lelechka [254]

Answer:

Physliis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

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$\text { Simple interest }=\frac{\text {Principal} \times r a t e \times T i m e}{100}$

In the question it is given that Simple interest earned from both the investments at the end of the year is $3980.

Using the given below equation, we will try to find out the investments at each rate.

$\begin{array}{l}{\frac{x \times 5 \times 1}{100}+\frac{(66000-x) \times 7 \times 1}{100}=3980} \\\\ {\frac{5 x}{100}+\frac{462000-7 x}{100}=3980} \\\\ {\frac{5 x+462000-7 x}{100}=3980} \\\\ {-2 \mathrm{x}+462000=3980 \times 100} \\\\ {-2 \mathrm{x}=398000-462000} \\\\ {-2 \mathrm{x}=-64000} \\\\ {\mathrm{x}=\frac{-64000}{-2}}\end{array}$

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Thus Phyllis invested 32000 dollar at 5% interest rate and 34000 dollar at 7% interest rate.

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3 years ago

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder​

A cylinder has a raduis of 12 m and a height of 9 m. What is the exact volume of the cylinder