Q9 of 48 Page 264

A hemispherical pond is filled with 523.908 m3 of water. Find the maximum depth of pond.

Given.


Volume of hemisphere = 523.908 m3


Formula used/Theory.


Volume of hemisphere = πr3


As maximum depth is height of pound


But in case of hemisphere radius is height of pound


πr3 = × r3 = volume


Volume = 523.908 m3


Equating both


× r3 = 523.908 m3


× r3 = 523.908 m3


r3 =


r3 = 250.047 m3


r = ∛(250.047 m3)


r = 6.3 m


More from this chapter

All 48 →
7

How many litres of petrol will be contained in a closed cylindrical tank with hemisphere at one end having radius 4.2 cm and total height 27.5 cm?

 8

The capacity of a cylindrical tank at a petrol pump is 57750 litres. If its diameter is 3.5 m, find the height of cylinder.

 10

A gulab - jamun contain 40% sugar syrup in it. Find how much syrup would be there in 50 gulab - jamuns, each shaped like a cylinder with two hemispherical ends with total length 5 cm and diameter 2.8 cm.

 11

The height and the slant height of a cone are 12 cm and 20 cm respectively. Find its volume. (π = 3.14)