Question

A grain silo is composed of a cylinder and a hemisphere.

The diameter is 4.4 meters. The height of its cylindrical

portion is 6.2 meters.

Vhat is the approximate total volume of the silo? Use 3.14

for r and round the answer to the nearest tenth of a cubic

meter

6.2 m

37 1 m

71.9 m3

116.5 m

130.8 m

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Answer 1

c 116.5

Explanation:

i got it right

Answer 2

Answer: The approximate total volume of the silo is 116.5 m3

Explanation:

Hi, the volume of the silo is equal to: volume of the cylinder + volume of the hemisphere:

Volume of the cylinder:

V = π x r²x h

Where:

R = radius (in this case, to obtain the radius we have to divide the diameter by two since radius = diameter /2)

h = height

Replacing with the values given:

V = π x r²x h = 3.14 x (4.4/2) ²6.2= 3.14 x (2.2)²x 6.2 = 94.22512 m3

And for the hemisphere:

Volume of the hemisphere: 2/3 x π x r3

Replacing with the values given;

v= 2/3 x 3.14 x 2.2∧3= 22.28m3

Finally, adding both results:

Volume of the silo = volume of the cylinder + volume of the hemisphere:

94.22 m3+ 22.28m3 = 116.5 m3