Question : If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):
Option 1: $254\; ext{cm}^3$
Option 2: $284\; ext{cm}^3$
Option 3: $264\; ext{cm}^3$
Option 4: $274\; ext{cm}^3$

Question

Question : If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):

Option 1: $254\; ext{cm}^3$

Option 2: $284\; ext{cm}^3$

Option 3: $264\; ext{cm}^3$

Option 4: $274\; ext{cm}^3$

Team Careers360 · Accepted Answer

Correct Answer: $264\; ext{cm}^3$

Solution : The volume V of a cone can be calculated using the formula:
$V = \frac{1}{3} \pi r^2 h$
where r is the radius of the base and h is the height of the cone.
Given that the diameter of the base is 12 cm, the radius r is 6 cm. The height h is given as 7 cm.
Substituting these values into the formula gives:
$V = \frac{1}{3} × \frac{22}{7} × 6^2 × 7$
$V= 264 \; ext{cm}^3$
Hence, the correct answer is $264\; ext{cm}^3$.

Exams

Colleges

Predictors

Resources

Quick links

Exams

Colleges & Courses

Predictors

Resources

Exams

Colleges

Predictors & E-Books

Resources

Engineering Preparation

Medical Preparation

Law Preparation

MBA Preparation

Exams

Colleges

Resources

Exams

Colleges

Predictors & Articles

Resources

Exams

Colleges

Predictors

Resources

Exams

Colleges

Upcoming Events

Resources

Exams

Colleges

Resources

Quick Links

Top Streams

Specializations

Resources

Top Providers

Exams

Colleges

Resources

Diploma Colleges

Exams

Colleges

Resources

Exams

Resources

Top Courses & Careers

Colleges

Exams

Upcoming Events

Resources

Other Exams

Exams

Colleges

Top Countries

Resources

Exams

Top Schools

Products & Resources

NCERT Study Material

Question : If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):Option 1: 254cm3Option 2: 284cm3Option 3: 264cm3Option 4: 274cm3

Related Questions

Know More about

Upcoming Exams

Trending Articles around SSC CPO

Download the Careers360 App on your Android phone

Sign In/Sign Up

Question : If the height of a cone is 7 cm and the diameter of the circular base is 12 cm, then its volume is (nearest to integer):
Option 1: $254 {cm}^{3}$
Option 2: $284 {cm}^{3}$
Option 3: $264 {cm}^{3}$
Option 4: $274 {cm}^{3}$