Suppose Jessica borrows $8000 at an interest rate of 6% compounded each year. Assume that no payments are made on the loan.
Follow the instructions below. Do not do any rounding.

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cthompson1107

20.01.2022

Mathematics

The radius of cone is 44.6 meters.

Step-by-step explanation:

Consider the provided information.

The shape of a cone (excluding the base) is given by the formula S=Pi x square root of (r^2 + h^2).

This can be written as:

$S=\pi \times \sqrt{r^2+h^2}$

We need to find the radius of a cone with a height of 21 meters and a surface area of 155 meters squared.

Substitute the respective values in the above formula.

$155=\pi \times \sqrt{r^2+21^2}$

$\frac{155}{\pi}=\sqrt{r^2+21^2}$

$49.32=\sqrt{r^2+441}$

2432=r^2+441

1991=r^2

$r=44.6\ approximately$

Hence, the radius of cone is 44.6 meters.

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Suppose Jessica borrows $8000 at an interest rate of 6% compounded each year. Assume that no payments are made on the loan. Follow the instructions below. Do not do any rounding.