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Assume π = $\frac{22}{7}$ unless stated otherwise. ____ is the capacity in litres of a conical vessel with height 12 cm and slant height 13 cm.

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Detailed Solution

Height of the conical vessel, h = 7cm
Slant height of the conical vessel, l = 13cm
Radius of the conical vessel, r = √l² - h²
= √(13)² - (12)²
= √169 -144
= √25
r = 5 cm
Capacity of the conical vessel =

\frac{1}{3}

πr²h
=

\frac{1}{3} \times \frac{22}{7}

× 5 cm × 5 cm × 12 cm
=

\frac{2200}{7}

cm³
=

\frac{2200}{7}

\frac{1}{1000}

[∵ 1000 cm³ = 1litre]
=

\frac{11}{35}

litres
Assume π =

\frac{22}{7}

unless stated otherwise.

\frac{11}{35}

is the capacity in litres of a conical vessel with height 12 cm and slant height 13 cm.

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