Question

3. A vessel is in the shape of a frustum of
a cone. The radil ol! its circular buses
are 98cm & 7cm and the height on the
vessel is 45cm . Find the volume of the
vessel​

Answer 1

Appropriate Question:-

A vessel is in the shape of a frustum of a cone. The radii of its circular bases are 98cm & 7cm and the height on the vessel is 45cm. Find the volume of the vessel.

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Given:-

• A vessel is in the shape of a frustum of a cone. The radii of its circular bases are 98cm & 7cm and the height on the vessel is 45cm.

To Find:-

• Volume of the vessel

Formula Used:-

• ${\boxed{\bf{Volume\:of\:Frustum\:of\:Cone=\dfrac{1}{3}\pi[R^2+r^2+R\times r]h}}}$

Solution:-

Using Formula,

$\bf :\implies\:Volume\:of\:Frustum\:of\:Cone=\dfrac{1}{3}\pi[R^2+r^2+R\times r]h$

Here,

• R = 98cm

• r = 7cm

• h = 45cm

Putting values,

$\sf :\implies\:Volume=\dfrac{1}{3}\times\dfrac{22}{7}\times[98^2+7^2+98\times 7]45$

$\sf :\implies\:Volume=\dfrac{1}{3}\times\dfrac{22}{7}\times 10,339\times45$

$\sf :\implies\:Volume=\dfrac{6,88,793}{21}$

$\bf :\implies\:Volume=32,799.66\:cm^3$

Hence, The Volume of Frustum of Cone is 32,799.66cm³.

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