Question

a metal cube of dimension 22 cm × 15 cm × 7.5 cm. is melted and cast into a cylinder of height 14 cm what is its radius

Answer 1

Answer:

7.5 cm

Step-by-step explanation:

Dimensions of a metal cuboid=

l=22cm

b=15cm

h=7.5cm

Height of the cylinder=14cm

Volume of cylinder=Volume of cuboid

πr square h=lbh

22/7 × r square ×14=22×15×7.5

r square=(2475×7)/(22×14)

r square=56.25

r=√56.25

r=7.5cm

Answer 2

Given
For the cube...

L = 22cm
B = 15cm
H = 7.5cm

For the cylinder
H = 14cm

To find the radius.......

volumne of cube = volumne of cylinder

$l \times b \times h = \pi \: {r}^{2} h \\ \\ 22 \times 15 \times 7.5 = \frac{22}{7} \times {r}^{2} \times 14 \\ \\ 247 = \frac{308r}{7} \\ \\ 247 \times 7 = 308r x r\\ \\ 1729 = 308r x r \\ \\ r x r = \frac{1729}{308} \\ \\ r = 7.52cm \: (approx) \\ \\ \\ mark \: it \: as \: a \: brainliest \: .....thnx$