Question

A hemispherical water tank has the radius 2.1 m .then the capacity of the water tank is

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Answer 1

Answer:

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Answer 2

19.39≈ 19.4 cu meter

or 19400 litres.

A hemisphere is a half-sphere-shaped three-dimensional object. The hemisphere is the form created when a spherical is divided into two half. To find the capacity of water tank, the volume of the tank needs to be found. As the tank is in the shape of a hemisphere, we start by calculating the volume of a hemisphere with the same radius as the water tank.

Given that radius of water tank is 2.1 m

The volume of a hemisphere = $\frac{2}{3}$×π × r³ cubic units.

Where π is a constant whose value is equal to 3.14 approximately. “r” is the radius of the hemisphere.

∴ Substituting required values, we get

Volume of tank =  $\frac{2}{3}$×π × (2.1)³

∴ Volume of tank = 19.4 cu metres

Mathematically, one cubic metre approximately equals a 1000 litres.

∴ 19.4 cu metres = 19.4 × 1000 litres of water

∴ Capacity of water tank = 19400 litres of water.