The radius and the slant height of a cone are | vedclass

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(B) Let the radius $r = 4x$ and the slant height $l = 7x$. The curved surface area $(CSA)$ of a cone is given by $\pi rl$. Substituting the values,$CS

Vedclass · Accepted Answer

$11:7$

Vedclass · Answer

(B) Let the radius $r = 4x$ and the slant height $l = 7x$. The curved surface area $(CSA)$ of a cone is given by $\pi rl$. Substituting the values,$CSA = \pi(4x)(7x) = 28\pi x^2$. The total surface area $(TSA)$ of a cone is given by $\pi r(r + l)$. Substituting the values,$TSA = \pi(4x)(4x + 7x) = \pi(4x)(11x) = 44\pi x^2$. The ratio of the total surface area to the curved surface area is $\frac{TSA}{CSA} = \frac{44\pi x^2}{28\pi x^2} = \frac{44}{28} = \frac{11}{7}$. Thus,the ratio is $11:7$.

The radius and the slant height of a cone are in the ratio $4: 7$. The ratio of its total surface area to its curved surface area is $\ldots \ldots \ldots$

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