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Vanyuwa [196]
3 years ago
8

The radius of a cylindrical construction pipe is 3.5ft . If the pipe is 38ft long, what is its volume? Use the value 3.14 for (p

ie symbol) , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Mathematics
1 answer:
Wittaler [7]3 years ago
3 0

Answer:

1462 cubic ft

Step-by-step explanation:

The volume of a cylinder can be found using the equation \pi r^{2}h=V. The radius is 3.5 ft and the height is 38ft.

(3.14)(3.5^{2})(38)=V

(3.14)(12.25)(38)=V

1461.67=V and rounded to the nearest whole numbe, 1462 cubic ft=V

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The exponential to describe $100 at 2% interest, compounded annually, for x years is y=100(1.02)^{x}

<h3><u>Solution:</u></h3>

Given that $ 100 at 2 % interest , compounded annually for "x" years

<em><u>The formula for compound interest, including principal sum, is:</u></em>

A=P\left(1+\frac{r}{n}\right)^{n t}

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P = the principal investment amount (the initial deposit or loan amount)

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Here in this sum,

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Let "y" be the amount after "x" years

Substituting the values in formula we get,

\begin{aligned}&y=100\left(1+\frac{0.02}{1}\right)^{1 \times x}\\\\&y=100(1+0.02)^{x}\\\\&y=100(1.02)^{x}\end{aligned}

Thus the exponential to describe is y=100(1.02)^{x}

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