Book Online Demo

Check Your IQ

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

If the radii of the circular ends of a frustum of height $6 cm$ are $15 cm$ and $7 cm$ respectively, then what is the volume and lateral surface area (curved surface area) of the frustum [take $π = 3.14]$ ?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

2382 cm 3

690 cm 2

2382.2 cm 3

690.8 cm 2

2002.2 cm 3

670.7 cm 2

2364 cm 3

580 cm 2

answer is B.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

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

Take Free Test

Detailed Solution

Given that the radii of the circular ends of a frustum of height

6 cm

are

15 cm

and

7 cm

.
We have the following formulae,
CSA of frustum

= π (R + r) l

Slant height

l = h 2 + (R − r) 2

Volume of frustum

= 13 π h R 2 + r 2 + R r

The volume of the frustum will be,

= 13 × 227 × 6 72 + 152 + 15 × 7

= 6.2857 (379) = 2382.2 cm 3

l = 62 + (8) 2 = 36 + 64 = 10 cm

CSA of frustum will be,

= 227 × (22) × 10 = 690.8 cm 2

Thus, the volume is

2382.2 cm 3

and the curved surface area of frustum is

690.8 cm 2

.
Therefore the correct option is 2.

Watch 3-min video & get full concept clarity

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

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!