Question

- A solid rectangular block of metal 49 cm by
44 cm by 18 cm is melted and formed into a solid
sphere. Calculate the radius of the sphere.​

Answer 1

Answer:

21 cm

Step-by-step explanation:

Dimensions of rectangular block =(49cm×44cm×18cm)

Volume of sphere = Volume of rectangular block 4/3πr^3. = l×b×h

4/3×22/7×r^3 = 49×44× 18

88/21×r^3 = 38808

r^3= 38808 × 21/88

r^3= 9261

r = 21 cm

Answer 2

Answer:

The radius of sphere=21cm

Step-by-step explanation:

Volume of rectangular block=49×44×18cm^3  =38808cm  ^3 ……(i)

Let r be the radius of the sphere.

So, the volume =  4/3  $\pi$r^3 =  4/3   ×22/  7  ×r^3 =  88 /21 r^3 ….. (ii)

Then, according to the question

88 /21 r^3 =38808

r^ 3  =  (38808×21) /88 =441×21

441×21=9,261

r=21cm

Therefore, the radius of sphere=21cm