Question

A bucket is in the form of a frustum of a cone hold 248 liter of milk theradii of top and bottomare 28 cm and 21 cm find height sol

Answer 1

ANSWER:-

Given:

A bucket is in the form of a frustum of a cone hold 248 litres of milk, the radii of top and bottom are 28cm and 21cm.

To find:

The height of the bucket.

Explanation:

We have,

• A bucket is in the form of frustum of a cone hold 248l milk.
• The radii of top (R) and bottom (r) are 28cm & 21cm.

We know that formula of the volume of the frustum cone:

$\frac{1}{3} \pi r^{2} h (cubic unit)$

So,

The volume of the bucket= 248 litres of milk.

We know that 1cm³ = 1000l

The volume of the bucket=[248×1000]cm³

The volume of the bucket= 248000cm³

Volume of the frustum bucket cone= $248000=\frac{1}{3} \pi h [ (28)^{2} +(21)^{2} +28*21] cm^{3} \\\\248000=\frac{1}{3} \pi h[784+441+588]cm^{3} \\\\248000=\frac{1}{3} *\frac{22}{7} *h [1813]cm^{3} \\\\248000=\frac{22}{21} h*1813cm^{3} \\\\h=\frac{248000*21}{22*1813} cm^{3}\\\\h=\:\frac{5208000}{39886} \\\\h\:=130.57cm$

Thus,

The height of the bucket is 130.57cm.