Foundation
Mathematics Foundation
Surface Area and Volume
Cone
Surface Area and Volume
Question

A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

3

4

6

7

JEE Advance
College PredictorLive

Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.

Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA

Solution
Verified BY
Verified by Zigyan

Given 
 Radius of cone = Radius of cylinder and height of the cylidner h = 3m
 We have
        2prh    = πrℓ
        ℓ   = 2h
        ℓ    = 2 × 3
        ℓ    = 6m