Question

Find the ratio of the surface areas of two cones if their diameters of the base are equal and slant heights are in
the ratio 4:3.​

Answer 1

Answer:

t is given that the diameters of the bases of two cones are equal that is:  

d  1  =d  2

​  

Divide by 2 on both sides

d1/2    =   d2/2..............1

But the radius is half of diameter that is  

d /2  =     r

​, therefore, from equation 1 we get r 1  =r  2  .......(2)

It is also given that the ratio of the slant heights of the cones is 4:3 that is:  

l1/  l2   =   4/3 .......(2]

We know that the curved surface area of the cone with radius r and slant height l is CSA=πrl, therefore, using equations 2 and 3, we have:

C1  /   C2 =  πr l1     /    πr2   /    l2

⇒  C1/  C2 =r1/ r2   x4/3

C1 /C2=4/3  

​⇒C  1   :   C2

​  =4:3  

Hence, the ratio of the curved surface area of two cones is 4:3.

hope it helps

tq....////////

Step-by-step explanation: