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 wooden article as shown in the figure was made from a cylinder by scooping out a hemisphere from one end and a cone from the other end. What is the total surface area of the article?

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

315.8 c m 2

310 c m 2

312.2 c m 2

211.2 c m 2

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Detailed Solution

Given that the height of the cylinder is 10cm, height of the cone is 7cm and the diameter of the base of the cylinder is 6cm.
Question Image

We have the following formula,
The curved surface area of a cone

= π r h

The curved surface area of a cylinder

= 2 π r h

The curved surface area of a hemisphere

= 2 π r 2

The total surface area will be,
Diameter is 6cm then, the radius will be 3cm.
Slant height for cone=

l = h 2 + r 2 l = 72 + 32 l = 49 + 9 l = 7.61 c m

Total surface area= the curved surface area of (Cone + cylinder +hemisphere)

= 3.14 × 3 (7.61 + 2 × 10 + 2 × 3) = 9.4 (33.61) = 315.8 c m 2

Thus the total surface area of the article is

315.8 c m 2

.
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!