AI Mentor

Check Your IQ

Free Expert Demo

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

A right circular cylinder just encloses a sphere of radius r as shown in the figure. What is the ratio of the surface area of the sphere to the surface area of the cylinder?

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.

An Intiative by Sri Chaitanya

1:1

1:2

1:4

1:3

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given, the radius of the sphere = r units.
Question Image

The radius of the cylinder will also be r units.
Since the cylinder is big enough to fit in the sphere, its height will be 2r.
The surface area of the sphere will be

4 π r 2

.
The curved surface area of the cylinder can be written as

C S A = 2 π r h

.
Substitute the values,

C S A = 2 π r × 2 r C S A = 4 π r 2

The curved surface area of the cylinder is also

4 π r 2

.
Thus, the ratio of the areas of the sphere and cylinder is 1:1.
Therefore, the correct option is 1.

Watch 3-min video & get full concept clarity

courses

No courses found

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!