Aptitude - Volume and Surface Area - Discussion

Discussion Forum : Volume and Surface Area - General Questions (Q.No. 1)
1.
A right triangle with sides 3 cm, 4 cm and 5 cm is rotated the side of 3 cm to form a cone. The volume of the cone so formed is:
12 cm3
15 cm3
16 cm3
20 cm3
Answer: Option
Explanation:

Clearly, we have r = 3 cm and h = 4 cm.

Volume = 1 r2h = 1 x x 32 x 4 cm3 = 12 cm3.
3 3

Video Explanation: https://youtu.be/Njsid2mVwUY

Discussion:
77 comments Page 5 of 8.

Swati said:   1 decade ago
Anyone solve this last step of questions?

My answer is not coming 12. I think wrong answer.

Srikanth said:   10 years ago
Volume of cone is (1/3)*pi*r*r*h = (1/3)*(22/7)*3*3*4 then, the value will be 12(22/7)cm^3.

Kaveri said:   7 years ago
It is;

r=3, h=4.
volume = 1/3 * 2 2/7 * r2 * h.
v = 1/3 * 22/7 * 9 * 4.
v = 12 * 22/7cm3.
(2)

Silky said:   1 decade ago
@Sakshi is right. If it is rotated about 3 cm then its radius should be 3/2 = 1.5 cm.

Gini said:   1 decade ago
I think 3 cm is the surface area of the circle at the base.

Then, 3 cm=22/7*r*r.

Shafi said:   1 decade ago
Since triangle is rotated with a side of 3 hence radius=3, volume=1/3*22/7r^2h.

Sam singh said:   8 years ago
If we rotate the angle from side of 4 cm thn what will be perpendicular?

Vidhya said:   1 decade ago
If the side of 3cm is rotated, won't it become the height of the cone ?

Pritam said:   1 decade ago
Why should the base be taken as 3? why can't it be 4? what's the logic?

Prabhu said:   1 decade ago
If it is rotated along the side with 3cm then how could radius be 3cm?


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