A cylindrical tank of radius 7 cm contains water. What should be the height of the tank to have a capacity of 7000 $c m^{3}$ ?

45 cm

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47 cm

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45.45 cm

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50 cm

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Solution

The correct option is C
45.45 cm

Given: Radius = 7 cm, Volume =7000 $c m^{3}$

Volume of cylinder = $π r^{2} h$

$7000 = π \times 7^{2} \times h$

$= 7000 = \frac{22}{7} \times 7^{2} \times h$

$h = \frac{1000}{22} = 45.45 c m$

Hence Height of the tank should be 45.45 cm

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A cylindrical tank of radius 7 cm contains water. What should be the height of the tank to have a capacity of 7000 cm3 ?

The correct option is C 45.45 cm Given: Radius = 7 cm, Volume =7000 cm3 Volume of cylinder = πr2h 7000=π×72×h =7000=227×72×h h=100022=45.45 cm Hence Height of the tank should be 45.45 cm

A cylindrical tank of radius 7 cm contains water. What should be the height of the tank to have a capacity of 7000 $c m^{3}$ ?

The correct option is C
45.45 cm

Given: Radius = 7 cm, Volume =7000 $c m^{3}$

Volume of cylinder = $π r^{2} h$

$7000 = π \times 7^{2} \times h$

$= 7000 = \frac{22}{7} \times 7^{2} \times h$

$h = \frac{1000}{22} = 45.45 c m$

Hence Height of the tank should be 45.45 cm