Question

7: Find the height of a cylinder whose radius is 7 cm and the total surface area is 968 cm2.​

Answer 1

Answer:

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Answer 2

Answer:

h = 15 cm

Step-by-step explanation:

Data :

• TSA = 968 cm²
• r = 7 cm
• h = ?
• π = 22/7

Solution:

TSA of cylinder = $\sf{2 \pi r(h + r) }$

$\implies$ $\sf{968 = 2× {\Large\frac{22}{\bcancel{7}}} × \bcancel{7} ( h + 7) }$

$\implies$ $\sf{{\Large\frac{968}{2×22}} = h + 7 }$

$\implies$ $\sf{22 = h + 7 }$

$\implies$ $\sf{h = 22 - 7 }$

$\therefore$ $\boxed{\sf{ h = 15\ cm }}$

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