If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

\frac{r^{2}}{L}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

π R L

No worries! We‘ve got your back. Try BYJU‘S free classes today!

r L

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{r^{2}}{L}$
Given,
Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π R L$

$\Rightarrow R = \frac{r^{2}}{L}$

Suggest Corrections

Similar questions

If the area of a circle with radius r is equal to the curved surface area of cone with radius $r_{1}$ and slant height l then the value of $r_{1}$ in terms of r and l is:

If the area of a circle with radius $r$ is equal to the curved surface area of a cone with radius $r_{1}$ and slant height l then the value of $r_{1}$ in terms of r and l is:

If the area of a circle with radius $r$ is equal to the curved surface area of cone with radius $r_{1}$ and slant height $l$ then the value of $r_{1}$ in terms of $r$ and $l$ is:

Q. The area of the curved surface of a cone of radius 2r and slant height

\frac{l}{2}

, is

(a)

π r l

(b) 2

π r l

(c)

\frac{1}{2} π r l

(d)

π (r + l) r

Q. CSA of cone of radius 'r', height 'h' and slant height 'l' is

πrl

Join BYJU'S Learning Program

If the area of a circle with radius 'r' is equal to CSA of a cone of radius 'R' and slant height 'L', then R = .

The correct option is A r2LGiven, Area of circle = Curved surface area of cone ⇒πr2=πRL ⇒R=r2L

The correct option is A $\frac{r^{2}}{L}$
Given,
Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π R L$

$\Rightarrow R = \frac{r^{2}}{L}$