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Find the volume of each figure to the nearest tenth. Show your work. please

Find the volume of each figure to the nearest tenth. Show your work. please-example-1
Find the volume of each figure to the nearest tenth. Show your work. please-example-1
Find the volume of each figure to the nearest tenth. Show your work. please-example-2
Find the volume of each figure to the nearest tenth. Show your work. please-example-3
User Jonas
by
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1 Answer

6 votes
Sphere volume:
(4)/(3) \pi r^3


(4)/(3) \pi 6^3


(4)/(3)*216 \pi


288 \pi

V = 288π = 288*3,14 = 904,3 m³

Cone volume:
( \pi r^2h)/(3)

We don't have the height, so we should find it firstly.

Watch the triangle "inside" the cone. It is a right triangle. The apothem is the hypothenuse and the radius is the shortest leg.

Apply Pitagora.

h (longest leg) = √13²-5² = √169-25 = √144 = 12 m

V =
( 5^2*12 \pi)/(3)


(25*12* \pi )/(3)


(300 \pi )/(3)

(300*3,14)/3 = 942/3 = 314 m³

Parallelepiped volume: a*b*h

a = 11, b = 5, h = 6

V = 11*5*6 = 330 cm³
User Jaap Joris Vens
by
8.1k points

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