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 vessel is in the form of a hemispherical bowl, surmounted by a hollow cylinder. The diameter of the hemisphere is $12 cm$ and the total height of the vessel is $16 cm$ . Find the surface area of the vessel. (Take $π$ = $3.14$ ).

see full answer

High-Paying Jobs That Even AI Can’t Replace — Through JEE/NEET

🎯 Hear from the experts why preparing for JEE/NEET today sets you up for future-proof, high-income careers tomorrow.

An Intiative by Sri Chaitanya

602.88 {cm}^{2}

606.81 {cm}^{2}

666.89 {cm}^{2}

467.78 {cm}^{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,
The height of the vessel is

16 cm

.
The diameter of the hemispherical bowl is

12 cm

.
The radius of the hemisphere (r) is

\frac{12}{2} = 6 cm

.
The height of the cylindrical part (h)=

(16 - 6) cm

\Rightarrow

10 cm

The curved surface area of the bowl=

2 π r^{2}

\Rightarrow

2 \times 3.14 \times 6 \times 6 cm

\Rightarrow

226.08 {cm}^{2}

The surface area of the cylinder =

2 πr h

\Rightarrow

2 \times 3.14 \times 6 \times 10 {cm}^{2}

\Rightarrow 376.8 {cm}^{2}

The surface area of the vessel = Surface area of the cylinder + Surface area of the sphere

\Rightarrow

(377.14 + 226.28) {cm}^{2}

\Rightarrow

602.88 {cm}^{2}

Therefore, surface area of the vessel is

602.88 {cm}^{2}

.
Hence, the correct option is 1.

Watch 3-min video & get full concept clarity

course

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!