Question : The area of the base of a solid cone is 616 cm2. If the height of the cone is 15 cm, then what is the volume of this cone?
Option 1: 2940 cm3
Option 2: 3440 cm3
Option 3: 3190 cm3
Option 4: 3080 cm3
Correct Answer: 3080 cm 3
Solution :
Area of the base of the Cone($A$)
⇒ $A$ = πr
2
= 616 cm
2
and $h$ = 15 cm
⇒ r
2
= $\frac{616}{π}$
The formula for the volume ($V$) of a cone is given by:
V = $\frac{1}{3}$πr
2
h, where:
$r$ is the radius of the base
$h$ is the height
⇒ Volume = $\frac{1}{3}$π $(\sqrt\frac{616}{π})^{2}$ × 15 = $\frac{1}{3}$π$\frac{616}{π}$ × 15 = $\frac{1}{3}$ × 616 × 15 = 3080 cm
3
Hence, the correct answer is 3080 cm
3
.
Related Questions
Know More about
Staff Selection Commission Multi Tasking ...
Application | Cutoff | Selection Process | Preparation Tips | Eligibility | Exam Pattern | Admit Card
Get Updates Brochure
Your Staff Selection Commission Multi Tasking Staff Exam brochure has been successfully mailed to your registered email id “”.
Upcoming Exams
Trending Articles around SSC MTS
