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Standard X

Mathematics

Curved Surface Area of a Right Circular Cone

If the area o...

Question

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:

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= rl

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= rl

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None of these

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Solution

The correct option is A
=

Area of circle = Curved surface area of cone

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

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

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Similar questions

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:

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

r_{1}

and

r_{2}

is equal to the area of circle of radius

r

, then
(a)

r = r_{1} + r_{2}

(b)

{r_{1}}^{2} + {r_{2}}^{2} = r^{2}

(c)

r_{1} + r_{2} < r

(d)

{r_{1}}^{2} + {r_{2}}^{2} < r^{2}

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}

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If the area of a circle with radius r is equal to the curved surface area of 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 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

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

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