Mathematics
03.02.2023 13:11
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Asphere has a diameter of 14 units. what is the volume of the sphere in cubic units?

Asphere has a diameter of 14 units. what is the volume of the sphere in cubic units? if a cylinder has the same radius as the sphere and a height of 14 units, what is the volume of the cylinder? use 3.14 for π.
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skittlesarebae6035
skittlesarebae6035
5,0(21 marks)

\text{Volume of sphere}\approx 1436.03 cubic units.

\text{Volume of cylinder}=2154.04 cubic units.

Step-by-step explanation:

We have been given that a sphere has a diameter of 14 units. We are asked to find the volume of our given sphere.

\text{Volume of sphere}=\frac{4}{3}\pi r^3, where r represents the radius of sphere.

First of all, let us divide the diameter of sphere by 2 to find the radius of our given sphere.

\text{Radius of sphere}=\frac{14}{2}=7

\text{Volume of sphere}=\frac{4}{3}*3.14*7^3

\text{Volume of sphere}=\frac{4}{3}*3.14*343

\text{Volume of sphere}=\frac{4308.08}{3}

\text{Volume of sphere}=1436.02666\approx 1436.03

Therefore, the volume of sphere is 1436.03 cubic units.

\text{Volume of cylinder}=\pi r^2h, where,

r = Radius of cylinder,

h = Height of cylinder.

Upon substituting our given values in above formula we will get,

\text{Volume of cylinder}=\pi*7^2*14

\text{Volume of cylinder}=3.14*49*14

\text{Volume of cylinder}=2154.04

Therefore, the volume of cylinder is 2154.04 cubic units.

Jackpumpkin
Jackpumpkin
5,0(25 marks)

C. x = 4

Hey! I just took the test and got it right. Good luck! :)

Step-by-step explanation:

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