A candle is cylindercal at one end and a perfect conical at the other end The diameter of the - Maths - Surface Areas and Volumes

Question

A candle is cylindercal at one end and a perfect conical at the
other end The diameter of the candle is 3cm and all over height is
8cm If the slant height of the conical portion is 2 5cm, find the
volume of the wax of the candle If the mass of he was is 1
75g/cm^3, find the mass of he candle?

Brijendra Pal · Accepted Answer

Hi,

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Hi, Here for the conical part, l = 2
5 cm and r = 32 = 1
5 cmso l2= r2+h22 52= 1
52+h2 h = 2so height of cylinderical part = 8-2 = 6 cm so here volume of whole part = volume of cylinderical part+volume of conical part= πr2×6+13πr2×2=πr26+23=203×227×1
5×1
5 cm3now mass of 1 cm3 = 1
75 g so mass of 203×227×1
5×1 5 cm3= 203×227×1 5×1
5× 1 75=82 5 g

A candle is cylindercal at one end and a perfect conical at the other end. The diameter of the candle is 3cm and all over height is 8cm. If the slant height of the conical portion is 2.5cm, find the volume of the wax of the candle . If the mass of he was is 1.75g/cm^3, find the mass of he candle?