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2 years ago

5

The main tank has a radius of 70 feet. What is the volume of the quarter-sphered sized tank? Round your answer to the nearest wh

ole number.

1 answer:

Misha Larkins [42]2 years ago

8 0

Volume of a sphere with radius of 70 feet is:
$V = \frac{4}{3} * \pi * r^{3}$

where r is that radius

Because we need quarter sized tank of that radius we need to divide formula for volume by 4

Than we get:
$V = \frac{1}{3} * \pi * r^{3}$

V = 359188,76

Rounded:
V = 359189

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A rectangular prism has a length of 20 in a width of 2 in and a height of 3 1/4 in the prism is filled with cubes that have edge

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3 years ago

In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo

Scorpion4ik [409]

Answer:

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Step-by-step explanation:

we know that

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$AB=(3x-2)\ cm$

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substitute the values

$17=\frac{1}{2}(3x-2)(x+3)$

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The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

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$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$3x^2+7x-40=0$

so

$a=3\\b=7\\c=-40$

substitute in the formula

$x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}$

$x=\frac{-7(+/-)\sqrt{529}} {6}$

$x=\frac{-7(+/-)23} {6}$

$x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}$

$x=\frac{-7(-)23} {6}=-5$

therefore

The solution is

$x=\frac{8}{3}\ cm$

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