Question
Download Solution PDFWhat is the height of a solid cylinder whose radius is 7 cm and total surface area is 1144 cm2?
(Use \(\pi=\frac{22}{7}\))
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
r = 7 cm
Total Surface Area = 1144 cm²
Formula Used:
Total Surface Area of Cylinder = 2πr(h + r)
Calculation:
Substituting these values into the formula
⇒ 1144 = 2 × (22/7) × 7 × (h + 7)
Simplify the equation:
⇒ 1144 = 44 × (h + 7)
Divide both sides by 44
⇒ 1144 / 44 = h + 7
⇒ 26 = h + 7
Finally, solve for h:
⇒ h = 26 - 7 = 19 cm
So, the height of the cylinder is 19 cm.
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