Question

If the volume of the 9856 cm^3 ,if the diameter of the base is 28 cm find the height of the cone.​

Answer 1

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Given:

Volume = 9856 cm ^3

Diameter = 28cm

Then,

Radius = 28/2= 14cm

Find:CSA of cone

Solve:

Vol. of cone = 1/3πr2h

9856= 1/3×22/7×196×h

9856 = 1/3×22×28×h.

9846 = 616/3×h

9856×3 /616= h

h = 16×3

h = 48

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Answer 2

Answer:

48 cm

Step-by-step explanation:

Radius= 28/2= 14 cm

We know that volume of a cone is $\frac{\pi r^{2}h }{3}$

⇒ $\frac{\pi r^{2}h }{3}$= 9856

⇒ h= $\frac{9856*3*7}{22*14*14}$

⇒ h= 48 cm

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