the area of the base of a cylinder is 150 square inches. If the volume of the cylinder is 1,050 in^3, what is the height of the

Question

4 years ago

9

cylinder?

1 answer:

Nesterboy [21] · Answer 1 · 2021-11-20T05:45:33+03:00

The height of cylinder is 7.02 inches

Step-by-step explanation:

Given

Area of circular base = A = 150 in^2

First of all we have to find the radius of circular base

$A = \pi r^2\\150 = \frac{22}{7} * r^2\\r^2 = 150 * \frac{7}{22}\\r^2 = 47.727\\$

Taking square root on both sides

$\sqrt{r^2} = \sqrt{47.727}\\r = 6.9\ inches$

Now,

V = 1050 in^3

$V = \pi r^2h\\1050 = 3.14 * (6.9)^2*h\\1050 = 3.14*47.61*h\\1050 = 149.4954h\\h=\frac{1050}{149.4954}\\h = 7.02\ inches$

The height of cylinder is 7.02 inches

Keywords: Volume, area

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