Question

If the radius of a cone is 60 cm and its curved surface area is 23.55 m², then find its slant height. (???? = 3.14)

Answer 1

For Right Circular Cone,

Total Surface Area of the Cone $= \pi r(r+l)$

Curved Surface Area of the Cone $=\pi rl$

For simple calculations take $\pi=\frac{22}{7}=3.14$

Given that radius of the cone $r=60\, cm$

Curved surface area = 23.55 m²

Here radius is in centimeter and the curved surface area is in m.

So Convert cm into m .

Radius of the cone $r=60 \, cm=\frac{60}{100}\, m=0.60\, m$

Now plug in these values in the curved surface area of the cone:

$23.55=3.14\times 0.60\times l$

$23.55=1.884\times l$

Dividing 1.884 on both sides,

$\frac{23.55}{1.884}=\frac{1.884}{1.884}\times l$

$12.50 =l$

Thus the Slant height of the cone $=12.50\, m$

Answer 2

Answer:

For Right Circular Cone,

Total Surface Area of the Cone

Curved Surface Area of the Cone

For simple calculations take

Given that radius of the cone

Curved surface area = 23.55 m²

Here radius is in centimeter and the curved surface area is in m.

So Convert cm into m .

Radius of the cone

Now plug in these values in the curved surface area of the cone:

Dividing 1.884 on both sides,

Thus the Slant height of the cone

Step-by-step explanation: