Question

. A 20m deep well with diameter 7m is  dug up and the earth from digging is evenly spread out to form a platform 22m× 14m.Find the height of the platform.​

Answer 1

Answer:

2.5m

Step-by-step explanation:

Answer 2

Answer:

2.5 m

Hope this helps you :)

Step-by-step explanation:

Depth of the well, h = 20 m

Diamter = 7 m

so, radius = $\frac{7}{2} m$

Length of the platform, l = 22 m

It's base = 14m

Vol.(Cylindrical Well)=

$\pi {r}^{2} h$

$\frac{22}{7} \times \frac{7}{2 } \times \frac{7}{2 } \times 20$

=22 × 7× 5 m³

Vol.(Platform) = lbh

= 22 × 14 × h

Vol.(Platform) = Vol.(Well)

22 × 14 × h = 22× 7 × 5

therefore, h =

$\frac{22 \times 7 \times 5}{22 \times 14} = \frac{5}{2}$

= 2.5m