# 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:

A. 12$$\pi$$ cm^{3}

B. 15$$\pi$$ cm^{3}

C. 16$$\pi$$ cm^{3}

D. 20$$\pi$$ cm^{3}

**Answer: Option A **

__Solution(By Examveda Team)__

$$\eqalign{ & {\text{Clearly}}, \cr & {\text{We have }}r = 3\,{\text{cm}}\,{\text{and}}\,h = 4\,{\text{cm}} \cr & \therefore \,\,\,{\text{Volume}} \cr & = \frac{1}{3}\pi {r^2}h \cr & = \left( {\frac{1}{3} \times \pi \times {3^2} \times 4} \right){\text{c}}{{\text{m}}^3} \cr & = 12\pi \,{\text{c}}{{\text{m}}^3} \cr} $$

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Related Questions on Volume and Surface Area

A. 12$$\pi$$ cm^{3}

B. 15$$\pi$$ cm^{3}

C. 16$$\pi$$ cm^{3}

D. 20$$\pi$$ cm^{3}

**In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:**

A. 75 cu. m

B. 750 cu. m

C. 7500 cu. m

D. 75000 cu. m

A. 720 m^{3}

B. 900 m^{3}

C. 1200 m^{3}

D. 1800 m^{3}

A. 84 meters

B. 90 meters

C. 168 meters

D. 336 meters

They have said that to rotate around 3 cm side.

That means to make a cone we have to make a round circle around 3 cm line.

How do we know that 3 will be base & 4 will be height. It can be vice versa leading to 16pie.

Pls suggest