Question

Find the volume of cone

Answer 1

In the given figure :-

• diameter of cone = 7 cm

• Height of cone = 4 cm

we know that :-

$\implies \: radius = \dfrac{diameter}{2}$

Therefore radius of cone :-

$\implies \: radius = \dfrac{7}{2} \: cm$

$volume \: of \: cone(v) = \dfrac{1}{3} \times \pi \times {r}^{2} \times h$

Now put :-

• r = 7/2
• π = 22/7
• h = 4

$\implies \: v = \dfrac{1}{3} \times \dfrac{22}{7} \times { (\dfrac{7}{2} )}^{2} \times 4$

$\implies \: v = \dfrac{1}{3} \times \dfrac{22}{7} \times { \dfrac{7}{2} } \times\dfrac{7}{2} \times 4$

$\implies \: v = \dfrac{1}{3} \times {22} \times {7}$

$\implies \: v = \dfrac{154}{3} \: {cm}^{3}$

Answer :

$\dfrac{154}{3} {cm}^{3} (or \: 51.3{cm}^{3})$

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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 = (4/3)πr³

Surface area of sphere = 4πr²

Volume of hemisphere = ⅔ πr³

C.S.A of hemisphere = 2πr²

T.S.A of hemisphere = 3πr²