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

Explanation

Given:
`d_1=d_2`
`l_1:l_2=4:3`
`d_1/2=d_2/2`
`=>r_1=r_2`
Curved surface area of the cone with radius `r` and slant height `l=pirl`
`C_1/C_2=(pir_1l_1)/(pir_2l_2)`
`⇒C_1/C_2=r_1/r_1xx4/3`
`⇒C_1/C_2=4/3`
`⇒C_1:C_2=4:3`
`therefore` The ratio of the curved surface area of two cones`=4:3`.