Question -
Answer -
The radius of each of the depressions is 0.5 cm and the depth is 1.4 cm. Find the volume of wood in the entire stand (see Fig.).
Solution:
Volume of cuboid = length x width x height
We know the cuboid’s dimensions as 15 cmx10cmx3.5 cm
So, the volume of the cuboid = 15x10x3.5 = 525cm3
Here, depressions are like cones and we know,
Volume of cone = (⅓)πr2h
Given, radius (r) = 0.5 cm and depth (h) = 1.4cm
∴ Volume of 4 cones = 4x(⅓)πr2h
= 1.46 cm2
Now, volume of wood = Volume of cuboid – 4 xvolume of cone
= 525-1.46 = 523.54 cm2