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

Q.

Volume of the hemisphere of radius 3.5 cm is ____ ${cm}^{3}$ .

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

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Concept: The volume would be

89.834 {cm}^{3}

. To get the volume, insert the specified hemisphere's radius into the method for calculating hemisphere volume (

\frac{2}{3} π r^{3}

) .
A 3.5 cm radius hemisphere is what we have. The given hemisphere's volume must be determined.
Half of a sphere, a hemisphere is a three-dimensional object. A sphere is described as a collection of points in three dimensions where every point on the surface is equally spaced from the center.
We are aware that if the hemisphere's radius is r units, then its volume is given by (

\frac{2}{3} π r^{3}

) units. Radius is the measurement of a hemisphere's angular separation from its circumference, or outside ring. Always, the diameter is half the radius.
When r=3.5 is substituted in the calculation above, we get volume of hemisphere =(

\frac{2}{3} π ({3.5)}^{3}

) .
Using the aforementioned method, we can obtain the hemisphere's volume by substituting

π = \frac{22}{7}

= (\frac{2}{3} π ({3.5)}^{3}) . = \frac{2}{3} \times \frac{22}{7} \times (3.5) 3

= \frac{2}{3} \times \frac{22}{7} \times \frac{35}{10} \times \frac{35}{10} \times \frac{35}{10}

Canceling out like terms from numerator and denominator, we get volume of hemisphere

= \frac{22}{3} \times \frac{35}{10} \times \frac{35}{10} = 89.834 {cm}^{3}

Hence, the volume of the hemisphere of radius 3.53 cm is equal to

89.834 {cm}^{3} .

ExamType: CBSE

Watch 3-min video & get full concept clarity

courses

No courses found

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

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!

Related Blogs

Get ₹ 1 crore* worth scholarship for JEE / NEET / Foundation

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 study material, now at your finger tips!

live classes
progress tracking
24x7 mentored guidance
study plan analysis

download the app

gplay

mentor

Download the App

gplay

personalised 1:1 online tutoring