Question

a cylindrical metal block of radius 24 cm and length 77 CM has a square hole of side 24cm running through it along the length calculate the volume of metal​

Answer 1

Question:

A cylindrical metal block of radius 24 cm and length 77 cm has a square hole of side 24cm running through it along the length.Calculate the volume of metal.

Solution:

Volume of Cylinder

$\boxed{\sf{Volume\:of\: cylinder= \pi r^2 h}}$

$\implies Volume = \frac{22}{7} \times {(24)}^{2} \times 77 \\ \implies Volume = 22 \times 24 \times 24 \times 11 \\ \implies Volume = 139392c {m}^{2}$

Volume of Square hole

$\boxed{\sf{Volume\:of\: cuboid= lbh}}$

$\implies Volume = 77 \times 24 \times 24 \\ \implies Volume = 44352c {m}^{2}$

Volume of Metal

$\boxed{\sf{Volume\:of\:metal=Volume\:of\: cylinder-Volume\:of\:square\:hole}}$

$\implies Volume \: of \: metal= 139392 - 44352 \\ \implies Volume \: of \: metal = 95040c {m}^{2}$

Hence, the volume of metal is 95040sq.cm.

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Answer 2

Answer:

95040cm2 no need to say thanks