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r-ruslan [8.4K]
2 years ago
14

A 36 m tall building is in the shape of rectangular prism.what is the volume of the building if the area of the ground floor is

639m2​
Mathematics
1 answer:
Klio2033 [76]2 years ago
6 0

Answer:

ik bro sorry I didn't get back to you in a little bit and then I'll

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A sphere is inscribed in a cube with a surface area of 216 square centimeters. What is the volume of the sphere
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Answer:

V=298.5cm^3

Step-by-step explanation:

To find the volume of the sphere we need to know its radius.

And the radius can be found with the information we have about the surface area.

The formula for the surface area is as follows:

SA=4\pi r^2

from this formula we clear the radius r:

r^2=\frac{SA}{4\pi}\\ \\r=\sqrt{\frac{SA}{4\pi} }

and we substitute the known value of the surface area, and also the value of \pi:

r=\sqrt{\frac{216cm^2}{4(3.1416)} }\\ \\r=\sqrt{\frac{216cm^2}{12.5664} }\\ \\r=\sqrt{17.1887cm^2}\\ \\r=4.146cm

and now that we know the radius we find the volume:

V=\frac{4\pi r^3}{3} \\\\V=\frac{4(3.1416)(4.146cm)^3}{3}\\ \\V=\frac{895.521cm^3}{3}\\ \\V=298.5cm^3

the volume of the sphere is 298.5cm^3

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