The radius and height of a cone are 5,cm and | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) For the given cone,the radius $r = 5\,cm$ and the height $h = 12\,cm$.First,we calculate the slant height $l$ using the formula $l = \sqrt{r^2 + h

Vedclass · Accepted Answer

$13:5$

Vedclass · Answer

(A) For the given cone,the radius $r = 5\,cm$ and the height $h = 12\,cm$.First,we calculate the slant height $l$ using the formula $l = \sqrt{r^2 + h^2}$.$l = \sqrt{5^2 + 12^2} = \sqrt{25 + 144} = \sqrt{169} = 13\,cm$.The $CSA$ (Curved Surface Area) of a cone is given by $\pi r l$.The area of the base of the cone is $\pi r^2$.Therefore,the ratio of the $CSA$ to the area of the base is $\frac{\pi r l}{\pi r^2} = \frac{l}{r}$.Substituting the values,we get $\frac{13}{5}$,which is $13:5$.

The radius and height of a cone are $5\,cm$ and $12\,cm$ respectively. Then,the ratio of its $CSA$ and area of base is $\ldots \ldots \ldots \ldots$

Similar Questions

The volume of a hemisphere with radius $3 \, cm$ is $\ldots \ldots \ldots \pi \, cm^{3}$.

$A$ metallic sphere with radius $42\, cm$ is melted to cast $8000$ identical balls. Find the radius of these balls (in $cm$).

Total surface area of a cone exceeds its curved surface area by $\ldots \ldots \ldots . . .$

How many balls with diameter $1 \, cm$ can be produced by melting a metallic cylinder with radius $6 \, cm$ and height $4 \, cm$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module