Question

a
A vessel is in the shape of a bustum of
cone. The radil of its circular bases
are 28cm & tom and the height of the
vessel is 45 cm . Find the volume of the
vessel​

Answer 1

the volume is 326m^2

hope it helps you ✌ friend

Answer 2

Answer:

48,510 cm³

Step-by-step explanation:

Given:

• A vessel is in the shape of a frustum of cone.
• The radil of its circular bases are 28 cm and 7 cm and the height of the vessel is 45 cm.

To find:

• The volume of the vessel.

Solution:

We know that the vessel is in the shape of a frustum of cone, so we will use here formula of volume of frustum of cone to find the volume of vessel. Simply putting the values in the formula we and then doing the required calculations.

✰ Volume of frustum of cone = 1/3π(R² + r² + R × r )h cu. units

Where,

• Take value of π as 22/7
• R is the first radius of conical frustum.
• r is the second radius of conical frustum.
• h is the height of the conical frustum.

Here,

• π = 22/7
• R = 28 cm
• r = 7 cm
• h = 45 cm

Putting the values in the formula, we have:

⟹ Volume of the vessel = 1/3 × 22/7 (28² + 7² + 28 × 7 ) × 45 cm³

⟹ Volume of the vessel = 1/3 × 22/7 ( 784 + 49 + 196 ) × 45 cm³

⟹ Volume of the vessel = 1/3 × 22/7 × 1029 × 45 cm³

⟹ Volume of the vessel = 1/3 × 22 × 147 × 45 cm³

⟹ Volume of the vessel = 1 × 22 × 147 × 15 cm³

⟹ Volume of the vessel = 48,510 cm³

∴ The volume of the vessel = 48,510 cm³

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