The curved surface area of cylinder is 1520cm2 and its volume is 10640cm3.find its height
Answers
If the curved surface area of cylinder is 1520 cm² and its volume is 10640 cm³, then its height is 17.272 cm .
Step-by-step explanation:
Step 1:
The curved surface area of a cylinder is given = 1520 cm²
We have the formula for the curved surface area of a cylinder is given by,
C.S.A = 2πrh
∴ 1520 = 2πrh
⇒ 1520 = 2 * 22/7 * r * h
⇒ r * h = [1520 * 7] / [2 * 22]
⇒ r * h = 241.81 ……… (i)
Step 2:
The volume of a cylinder is given = 10640 cm³
We have the formula for the volume of a cylinder is given by,
Volume = πr²h
∴ 10640 = πr²h
⇒ 10640 = 22/7 * r * r * h
⇒ 10640 = 22/7 * r * 241.81 ….. [substituting from (i)]
⇒ r = [10640*7]/[22*241.81]
⇒ r = 14 …… (ii)
Step 3:
Substituting the value of r from (ii) in (i)
r * h = 241.81
⇒ 14 * h = 241.81
⇒ h = 241.81 / 14
⇒ h = 17.272 cm
Thus, the height of the cylinder is 17.272 cm
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