Question

The radii of two cones are equal and their slant height are in ratio 3:2. If the curved surface area of the smaller cone is 300 CM square find the larger cone area

Answer 1

Smaller Cone = 2
Larger Cone = 3
2------------------ 300
1------------------ 300/2 = 150
3------------------- 3*150 = 450

Answer 2

Answer:

Curved Surface Area of Larger Cone is 450 cm².

Step-by-step explanation:

Given Radius of both cone are equal

          Ratio of their slant height = 3 : 2

          Curved Surface Area of smaller cone = 300 cm²

To find: Curved Surface Area of Larger Cone

Since radius of both cones are equal then size depends on slant height

⇒ Slant height of smaller cone = 2x & Slant Height of larger cone = 3x

Curved surface area of cone = $\pi rl$

Curved surface area of smaller cone = 300

$\pi rl=300$

$\pi\times r\time(2x)=300$

$r=\frac{300}{2\pi x}$

$r=\frac{150}{\pi x}$

Now, Curved surface area of larger cone = $\pi rl$

                                                                     = $\pi\times\frac{150}{\pi x}\times3x$

                                                                     = $150\times3$

                                                                     = 450 cm²

Therefore, Curved Surface Area of Larger Cone is 450 cm².