Question

A tree is broken without separating
from the stem by the wind. The top
touches the ground making an angle
30° at a distance of 12 m from the foot
of the tree. Find the height of the tree
before breaking.
​

Answer 1

QUESTION :-

A tree is broken without separating from the stem by the wind. The top touches the ground making an angle 30° at a distance of 12 m from the foot of the tree. Find the height of the tree before breaking.

SOLUTION :-

Given side of cube = a = 66 cm

diameter of sphere = 7 cm

radius of sphere = r = 3.5 cm

Volume of cube = a³ = (66)³

= 66 × 66 × 66

Volume of sphere = 4/3 πr³

= 4/3 × 22/7 × (3.5)³

Number of spheres made out from lead cube =

Volume of cube / Volume of sphere

➡ 66×66×66 / 4/3 × 22/7 × 3.5 × 3.5 × 3.5

➡ 1600.16

➡ 1600 spheres

Answer 2

Given,

Side of a cube = a = 66 cm

Diameter = 7

Radius = 3.5 cm

Volume of a cube =

${a}^{3}$

$= {66}^{3}$

Volume of sphere =

$\frac{4}{3} \pi {r}^{3}$

Number of spheres made out = Volume of cube/Volume of sphere

$= \frac{66 \times 66 \times 66 \times }{ \frac{4}{3} \times \frac{22}{7} \times {3.5}^{3} }$

=1600 spheres