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 is 1628 m
^2, find its volume
PLEASE HELP
2 answers:
Answer:
920
Step-by-step explanation:
Answer:
4618.14
or 4618
Step-by-step explanation:
From T.S.A = 2
rh + 2

where T.S.A = 1628
1628 = 2
rh + 2

1628 = ( rh +
) 2
by dividing both side by 2
= rh +
259.10 = rh +
rh = 259.10 -
h =
<u> </u>(1)
From Radius + Height = 37
r + h = 37 <u> </u>(2)
by substituting eqn 1 into 2
r +
= 37
by multiplying r to both side
+ 259.10 -
= 37r
259.10 = 37r
r = 
r = 7.00 ≅ 7
From Eqn 2
r + h = 37
7 + h = 37
h = 37 - 7
h = 30
so Volume of a cylinder = 
V =
*
* 30
V = 4618.14
≅ 4618
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