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:

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

= rl

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

= rl

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

None of these

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

Open in App

Solution

The correct option is A
=

Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π r_{1} l$

$\Rightarrow r_{1} = \frac{r^{2}}{l}$

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 cone with radius $r_{1}$ and slant height $l$ then the value of $r_{1}$ in terms of $r$ and $l$ is:

Q. If the sum of the circumferences of two circles with radii R₁ and R₂ is equal to the circumference of a circle of radius R, then
(a)

R_{1} + R_{2} = R

(b)

R_{1} + R_{2} > R

(c)

R_{1} + R_{2} < R

(d) none of these

If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radius R, then

Q. If the sum of the areas of two circles with radii R₁ and R₂ is equal to the area of a circle of radius R, then
(a)

R_{1} + R_{2} = R

(b)

R_{1} + R_{2} < R

(c)

R_{1}^{2} + R_{2}^{2} < R^{2}

(d)

R_{1}^{2} + R_{2}^{2} = R^{2}

Join BYJU'S Learning Program

If the area of a circle with radius r is equal to the curved surface area of a cone with radius r1 and slant height l then the value of r1 in terms of r and l is:

The correct option is A = Area of circle = Curved surface area of cone ⇒πr2=πr1l ⇒r1=r2l

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:

The correct option is A
=

Area of circle = Curved surface area of cone

$\Rightarrow π r^{2} = π r_{1} l$

$\Rightarrow r_{1} = \frac{r^{2}}{l}$