Question

find the volume of metal used to construct a hollow metallic sphere of internal and external diameter 10cm & 13cm respectively( use pie = 3.14)

Answer 1

Hi ,

Dimentions of the hollow mettalic sphere are,

i ) Internal diameter ( d ) = 10 cm

Internal radius ( r ) = d / 2

r = 10 /2 = 5 cm

ii ) External diameter ( D ) = 13 cm

External radius ( R ) = 13 / 2 = 6.5 cm

iii ) volume of the hollow metallic sphere

= (4 / 3 ) × pi ( R^3 - r^3 )

= ( 4 / 3 ) × 3.14 × [ ( 6.5 )^3 - 5^3 ]

= ( 4/3 ) × 3.14 × [ 274.625 - 125 ]

= 4.187 × 149.625

= 26.48 cm^3 ( approx )

I hope this helps you.

****

Answer 2

Answer:

626.4300

Step-by-step explanation:

external radius =13/2

=6.5

internal radius = 10/2

= 5

volume = 4/3×3.14×(6.5³- 5³)

= 4/3×3.14×(274.625-125)

= 4/3×3.14×149.625

=1879.2900/3

=626.43 l