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Serjik [45]
3 years ago
15

MATHEMATICAL CONNECTIONS The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find

the value of x.
2.5 cm

x cm

Find the surface area and volume of the cylinder.

Surface area =

i cm2

Volume =

it cm
Mathematics
1 answer:
loris [4]3 years ago
6 0

Given :

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder.

To Find :

The relation between height and radius.

Solution :

S.A=2\pi rh+2\pi r^2=2\pi r(h+r)

V=\pi r^2h

Now ,

S.A=V\\\\2\pi r(h+r)=\pi r^2h\\\\2(h+r)=rh\\\\2h+2r=rh\\\\h(2-r)=-2r\\\\h=\dfrac{2r}{r-2}

Hence, this is the required solution.

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