Question

write the volume of a cone of diameter 'd' and height 'h'​

Answer 1

Answer:

write the volume of a cone of diamet

Answer 2

GIVEN :

diameter of cone = d

height of cone = h

TO FIND :

The volume of the cone.

FORMULA USED :

⟹$Radius = diameter/2$

⟹$V = \frac{1}{3} \times \pi \times {r}^{2} \times h$

where :-

• r = radius
• h= height

SOLUTION :

It is given that :- diameter of cone = d

therefore radius = d/2

Now , to find volume of cone we will use the formula :-

⟹$V = \frac{1}{3} \times \pi \times {r}^{2} \times h$

put r = d/2

⟹$V = \frac{1}{3} \times \pi \times {( \frac{d}{2}) }^{2} \times h$

⟹$V = \frac{1}{12} \times \pi \times {d}^{2} \times h$

⟹$V = \frac{1}{12} \pi {d}^{2} h$

ANSWER :

$V = \frac{1}{12} \pi {d}^{2} h$

where , V = volume of the given cone.

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Learn more :-

• Volume of cylinder = πr²h

• T.S.A of cylinder = 2πrh + 2πr²

• Volume of cone = ⅓ πr²h

• C.S.A of cone = πrl

• T.S.A of cone = πrl + πr²

• Volume of cuboid = l × b × h

• C.S.A of cuboid = 2(l + b)h

• T.S.A of cuboid = 2(lb + bh + lh)

• C.S.A of cube = 4a²

• T.S.A of cube = 6a²

• Volume of cube = a³

• Volume of sphere = 4/3πr³

• Surface area of sphere = 4πr²

• Volume of hemisphere = ⅔ πr³

• C.S.A of hemisphere = 2πr²

• T.S.A of hemisphere = 3πr²

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