Question

A solid cylindrical wooden block weighs 207.9 gm. If the radius and the height of the block are 2.1 cm and 1.5 cm respectively, find the weight of 1 cubic centimetre of wood. ​

Answer 1

Answer:

Weight of 1 cubic cm of wood = 1 gm.

Step-by-step explanation:

Volume of the cylindrical block =

$\pi {r}^{2} h \\ = \frac{22}{7} \times {2.1}^{2} \times 1.5 \\ = 22 \times 2.1 \times 0.3 \times 1.5 \\ = 22 \times 15 \times 0.63 \\ = 330 \times 0.63 \\ = 33 \times 6.3 \\ = 207.9 \: {cm}^{3}$

Since, weight of 207.9 cubic cm is = 207.9 gm,

therefore, weight of 1 cubic cm will be 1 gm.