Question

the curved surface area of a right circular cylinder of height 21 cm is 98 CM square find the diameter of the base of​

Answer 1

Answer:

d=49/33

Step-by-step explanation:

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Answer 2

$\huge\mathbb{\underline{SOLUTION:-}}$

$\bold{Given}\begin{cases}\sf{Curve\: surface\:area\:of\: cylinder=98cm{}^{2}}\\ \sf{Height=21cm}\end{cases}$

• We have to find the diameter of its base

$\boxed{\sf{C.S.A\:of\: cylinder=2\pi r h}}$

$\sf\underline{\underline{\red{According\: To\: Question:-}}}$

• First find the radius of cylinder

$\sf C.S.A=2\times pi\times r\times h\\ \\ \sf\longmapsto 98=2\times \frac{22}{\cancel7}\times r\times \cancel{21}\\ \\ \sf\longmapsto 98=44\times 3\times r\\ \\ \sf\longmapsto 98=132=r\\ \\ \sf\longmapsto \cancel{\frac{98}{132}}=r\\ \\ \sf\implies r=\frac{49}{66}$

• The radius of cylinder is

• $\mapsto \frac{49}{66}$

• Now the diameter of cylinder

• d=2r

$\sf\implies diameter=\cancel{2}\times \frac{49}{\cancel{66}}\\ \\ \sf\implies Diameter=\frac{49}{33}$

$\boxed{\sf{Diameter\:of\:its\:base=\frac{49}{33}}}$

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