Question

find the height of the solid circular cylinder of total surface area
${660cm}^{2}$
and radius 5 cm .
​

Answer 1

Answer:

16cm

Step-by-step explanation:

TSA=2 pi r (h+r)

660=2×22/7 ×5 (h+5)

660=220/7 (h+5)

660×7/220=h+5

4620/220=h+5

21=h+5

21-5=h

h=16cm

Answer 2

$\huge\mathbb{SOLUTION:-}$

$\bold{given}\begin{cases}\sf{T .S.A \:of\: cylinder=660cm{}^{2}}\\ \sf{radius=5cm}\end{cases}$

• We have to find the height of cylinder

$\bf\underline{\underline{According\:to\: Question:-}}$

$\boxed{\sf{Total\: surface\:area\:of\: cylinder=2\pi r(h+r)}}$

• Now solution

• put the value in formula which is given in the question

$\sf\implies Volume=2\times \frac{22}{7}\times 5(5+h)\\ \\ \tt\implies 660\times 7=2\times 22\times 25+ 5h\\ \\ \tt\implies 4620=44\times 25+5h\\ \\ \tt\implies \cancel{\frac{4620}{44}}=25+5h\\ \\ \tt\implies 105-25=5h\\ \\ \tt\implies 80=5h\\ \\ \tt\implies height=\cancel{\frac{80}{5}}=16cm$

• THE HEIGHT OF CYLINDER IS 16CM

$\large\boxed{\sf{\red{VERIFICATION:-}}}$

$\sf\implies Total\: surface\:Area=2\pi r(h+r)\\ \\ \sf\implies 660=2\times \frac{22}{7}\times 5(5+16)\\ \\ \sf\implies 660=\frac{44\times 5\times 21}{7}\\ \\ \sf\implies 660=\cancel{\frac{4620}{7}}=660\\ \\ \sf\implies 660=660$

$\boxed{\sf{Height=16cm}}$

#BAL

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