The capacity of cylindrical tank is 246.4 litres. If the height is 4 metres, what is the diameter of the base?

1.4 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2.8 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

14 cm

No worries! We‘ve got your back. Try BYJU‘S free classes today!

28 cm

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D
28 cm

Volume of the tank = 246.4 litres = 246400 cm $^{3}$

Let the radius of the base be `r' cm. Then,

$(\frac{22}{7} \times r^{2} \times 400) = 246400 \Leftrightarrow r^{2} = (\frac{246400 \times 7}{22 \times 400}) = 196 \Leftrightarrow r = 14$

$∴$ Diameter of the base = 2r = 28 cm.

Suggest Corrections

Similar questions

246.4

4

\frac{22}{7}

1.2 m

35 c m

If the capacity of a cylindrical tank is $1848 m^{3}$ and the diameter of its base is 14 m,the depth of the tank is

(a) 8 m

(b) 12 m

(d) 18 m

If the area of the top of a cylindrical tank of height 3.5 m is 96 m², its capacity is

Join BYJU'S Learning Program