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Answered

A cylinder has a volume of 1447 cm and the radius is 1 cm more than twice the height. Find the dimensions of the cylinder.​

Sagot :

ONEKPHIN

Answer:

H=4.54cm, r=10.08 cm

Step-by-step explanation:

V=πr2h

If r=1+2h

Then,

1447=π(1+2h)^2h divide both sides by π

460.6=(h) (4h2+4h+1)

4h3+4h2+h-460.6=0

Find h,

Only 1 postive root which is 4.54 cm

Then,

H=4.54 cm

R= 10.08

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