Question

Find the weight of a solid cylinder of radius 10.5 cm and height 60cm ,if the material of the cylinder weight 5 grams per cm³​

Answer 1

$\boxed{The \: Weight \: of \: the \: material \: needed \: = 103.95 kg \: \:(103 kg and 950grams)}$

Step-by-step explanation:

Radius = 10.5 cm ( given )

Height = 60 cm ( given )

Volume of a cylinder = π r² h .

=  $\dfrac{22}7$ × (10.5)²× 60

= $\dfrac{22}7$ × 10.5 × 10.5 ×60

= 22 × 1.5 ×10.5 × 60 (7 got cancel as 15×7 = 105 so 1.5×7 = 10.5)

= 22 × 1.5 × 10.5 × 60

= 20790 cm³

It is Given in the Question That the material used in making the cylinder weighs 5g per cm³ , so

Weight of the solid cylinder = 20790 × 5 = 103950 g

                                                                     = 103.950 kg

                                                                              ( 103kg and 950grams)