The sum of the base radius and height of a
solid cylinder is 37 cm. If the total surface
area of the solid cylinder is 1628 cm", then
find its height only
Answers
Answered by
1
Step-by-step explanation:
Given r+h=37 cm
Total surface area of the solid cylinder = 2πr(r+h)=1628cm
2
∴r=
2×22×37
1628×7
=7cm
∴ Height = (37-7) cn = 30 cm
and Circumference = 2πr=
7
22
×7=44cm
Volume of the cylinder = πr
2
h=
7
22
×7×7×30=4620cm
3
Answered by
19
Given : -
Sum of base radius and height
( R + h ) = 37 cm. ______(1)
Total surface Area = 1628 cm²
Formula : -
Solution : -
⇒
⇒ [ ∵ (R + h) = 37 is given ]
⇒
⇒
From equation (1)
⇒
⇒
∴ Height of the cylinder (h) = 30 cm.
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