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 rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same radius as that of the cylinder. The diameter and height of the cylinder are 6 cm and 12 cm, respectively. If the slant height of the conical portion is 5 cm, what is the total surface area and volume of the rocket respectively? [Use π = 3.14]?

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

320.44 cm² and 376.8 cm

³

301.44 cm² and 376.8 cm

³

353.82 cm² and 376.8 cm

³

300.44 cm² and 376.8 cm

³

answer is B.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that the diameter of the cylinder is 6 cm, and the height is 12 cm.
Determining the height of the cone:

l 2 = r 2 + h 2 h 2 = l 2 − r 2 h 2 = 52 − 32

h 2 = 16 h = 4

Let us assume that the volume of the rocket is V, volume of the cylinder be V' and the volume of the cone be V''. So,

V = V ′ + V ′ ′ V = π r 2 H + 13 π r 2 h V = π r 2 H + 13 h V = 3.14 × 32 12 + 13 × 4

V = 3.14 × 120 V = 376.8 c m 3

Let us assume that the total surface area of the rocket be S, curved surface area of cylinder be S', curved surface area of cone S'' and area of base of cylinder be S'''. So,

S = S' + S'' + S''' S = 2 π r H + π r l + π r 2 S = π r 2 H + l + r S = 3.14 × 3 2 × 12 + 5 + 3

S = 301.44 c m 2

Therefore, 2 is the correct options.

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!