Question
Download Solution PDFThe capacity of a cylindrical tank is 495 litres. If the height is 7 metres, what is the diameter of the base?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Capacity of cylindrical tank = 495 litres = 495 × 1000 cm3
Height (h) = 7 metres = 700 cm
Formula used:
Volume of cylinder = π × r2 × h
Where, r = radius of the base
Calculation:
\(\text{Volume} = \pi r^2 h\)
⇒ \(\text{495 × 1000} = \pi r^2 \times 700\)
⇒ \(\frac{495000}{700} = \pi r^2\)
⇒ \(\frac{495000}{700 \times 3.1416} = r^2\)
⇒ \(\frac{495000}{2199.12} = r^2\)
⇒ \(\text{r}^2 = 225\)
⇒ \(\text{r} = \sqrt{225} = 15 \, \text{cm}\)
Diameter = 2 × r = 2 × 15 = 30 cm
∴ The correct answer is option (1).
Last updated on Dec 9, 2024
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