Find the curved and total surface area of a c | vedclass

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Question

(A) Given: Radius $(r) = 6\, cm$,Height $(h) = 8\, cm$.First,calculate the slant height $(l)$ using the formula $l = \sqrt{r^2 + h^2}$.$l = \sqrt{6^2

Vedclass · Accepted Answer

$60\, \pi,\, 96\, \pi$

Vedclass · Answer

(A) Given: Radius $(r) = 6\, cm$,Height $(h) = 8\, cm$.First,calculate the slant height $(l)$ using the formula $l = \sqrt{r^2 + h^2}$.$l = \sqrt{6^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10\, cm$.Now,calculate the curved surface area $(CSA) = \pi r l$.$CSA = \pi 	imes 6 	imes 10 = 60\pi\, cm^2$.Next,calculate the total surface area $(TSA) = \pi r l + \pi r^2$.$TSA = 60\pi + \pi(6)^2 = 60\pi + 36\pi = 96\pi\, cm^2$.Thus,the curved surface area is $60\pi\, cm^2$ and the total surface area is $96\pi\, cm^2$.

Find the curved and total surface area of a conical flask of radius $6\, cm$ and height $8\, cm$.

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