Question

A cuboidal block of mental has dimensions 21 cm 77 cm and 24 cm the block has been melted into sphere the. Radius. Of the sdhere is

Answer 1

volume of cuboidal block =lbh

= 21*77*24=38808cmcubic

and volume of sphere be =4/3*(r)cube

on comparing volume of both cuboidal and sphere we found that radius of sphere will be 3.952

Answer 2

The radius of sphere is 21 cm

Step-by-step explanation:

Length of cuboidal block = 21 cm

Width of cuboidal block = 77 cm

Height of cuboidal block = 24 cm

Volume of cuboidal block = $Length \times Breadth \times Height$

Volume of cuboidal block =$21 \times 77 \times 24$

Volume of cuboidal block =$38808 cm^3$

Let the radius of sphere be r

Volume of sphere =$\frac{4}{3} \pi r^3$

We are given that A cuboidal block of mental has dimensions 21 cm 77 cm and 24 cm the block has been melted into sphere

So, Volume of cuboidal block = Volume of sphere

$38808 = \frac{4}{3} \pi r^3$

$38808 = \frac{4}{3} \times \frac{22}{7} \times r^3$

$\frac{38808 \times 3 \times 7}{4 \times 22} = r^3$

$\sqrt[3]{\frac{38808 \times 3 \times 7}{4 \times 22}}=r\frac{38808 \times 3 \times 7}{4 \times 22} = r^3$

21 = r

Hence The radius of sphere is 21 cm

#Learn more:

A rectangular metal block x measuring 12 CM by 8 cm by 4 cm is melted and recast into rectangular block by 2 cm wide and 1 cm high. find the length of mental blocks y find the ratio of the total surface area of the pipe

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