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3 years ago

PLEASE HELP!

Mathematics

2 answers:

vodka [1.7K]3 years ago

7 0

Volume of a cone is pi*r^2*h/3

Volume of cone is approx. 20.9.

Volume of a sphere is 4/3pi*r^3

Volume of sphere is approx. 113.1

113.1 - 20.9 = 92.2 approx.

pshichka [43]3 years ago

4 0

Answer: 92 cubic meters

Step-by-step explanation:

To find the volume of shaded region we need to subtract the volume of cone from volume of sphere.

radius of cone = 2 m

height of cone = 5 m

Volume of cone is given by :_

$\text{Volume}=\frac{1}{3}\pi\times r^2h\\\\\Rightarrow\text{Volume}=\frac{1}{3}\times3.14\times(2)^2(5)\\\\\Rightarrow\text{Volume}=20.9333333333\approx20.93$ cubic meters

radius of sphere = 3 m

Volume of sphere is given by :-

$\text{Volume}=\frac{4}{3}\pi\times r^3\\\\\Rightarrow\text{Volume}=\frac{4}{3}\times3.14\times(3)^3)\\\\Rightarrow\text{Volume}=113.04$ cubic meters

Volume of shaded region=Volume of sphere-Volume of cone=113.04-20.93=92.11≈92 cubic meters

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