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

Draw an isometric sketch for the shape obtained by joining two hemispheres of radius $5 c m$ and then find the surface area and volume of the shape obtained.

Grade: Grade 10

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

219.35 c m 2 a n d 423.65 c m 3

256.36 c m 2 a n d 128.45 c m 2

314.15 c m 2 a n d 450.38 c m 3

314.15 c m 2 a n d 523.59 c m 3

answer is D.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Radius of given hemisphere =

5 c m

As, sphere is obtained by adjoining two hemispheres. Therefore its radius will also be the same as the radius of the hemisphere.
Radius of sphere =

5 c m

Also, we know that volume of sphere is given as =

43 π r 3

Substituting value of ‘r’ in above volume formula we have

⇒ V o l u m e (V) = 43 × 227 × (5) 3 ​ ⇒ V o l u m e (V) = 43 × 227 × 5 × 5 × 5 ​ ⇒ V o l u m e (V) = 43 × 227 × 125 ​ ⇒ V o l u m e (V) = 1100021 ​ ⇒ V o l u m e (V) = 523.59

Therefore, we see that volume of sphere of radius

5 c m

523.59 c m 3

.
Now, to find the surface area of the sphere. We use a mensuration formula.
Surface Area =

4 π r 2

Substituting value of ‘r’ in above formula we have,

⇒ S u r f a c e a r e a (A) = 4 × 227 × (5) 2 ​ ⇒ S u r f a c e a r e a (A) = 4 × 227 × 5 × 5 ​ ⇒ S u r f a c e a r e a (A) = 22007 ​ ⇒ S u r f a c e a r e a (A) = 314.15 ​

Therefore, from above we see that the surface area of the sphere is

314.15 c m 2

.
So, the correct Ans is Option 4.

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!