Question

The sum of the radius of the base and the height of a solid cylinder is 37m. If the total surface area of the cylinder be 1628m², find its volume?.


plzz answer itt​

Answer 1

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Let

radius of the cylinder= r m

Height = h m

Given,

(r+h)=37m

Total surface area

2*pi*r(r+h)=1628

=>2*22/7* r*37=1628

=>r=(1628*7)/(2×22×37)

(After Calculation)

=>r=7 m

Therefore,

=>r+h =37

=>7+h=37

=>h=30m

Therefore,

Voume

=pi*r^2*h

=22/7*7*7*30

=4620m^3

$\boxed{Hope\:This\:Helps}$

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Answer 2

Answer:

Right cylinder

Solve for volume

V≈4216.08m³

h =Height

37m

A= Surface area

1628 m²

Using the formulas

A=2πrh+2πr2

AB=πr2

V=ABh

Solving forV

V=1

4h(πh﹣πh2+2A)2=1

4·37·(π·37﹣π·372+2·1628)2≈4216.0802m³