Math, asked by nataliebuckley2324, 9 months ago


Question 4

Find the amount of wax required to make a candle with radius 22 millimeter and height 61 millimeter. Give your answer correct to 2 decimal places and in millimeter units.

Answers

Answered by ayushyadav143
1

Your answers is given below --::;;;;;,,,,

Answer -:

2200/7 cm³ & 1980/7 cm² are Volume & TSA of candle before burning & h = 6 cm

Step-by-step explanation:

A wax Candle is in the shape of right circular cone with base radius 5 cm and height 12cm

=> Volume of Candle = (1/3)πr²h

= (1/3)(22/7)5² * 12

= 2200/7 cm³

Volume of candle before burning = 2200/7 cm³

Slant height = √5² + 12² = 13 cm

TSA = πr(r + l) = (22/7) * 5 ( 5 + 13) = 1980/7 cm²

It takes 1 hour 40 minutes to burn completely

=> 100 minutes to burn = 2200/7 cm³

=> 1 minute to burn = 22/7 cm³

=> 25/2 minutes to burn = 25 * 11 / 7 cm³

Volume burned of cone with height = 12 - h cm

and radius r

=> (12 - h)/r = 12/5

=> 12r = 5(12 - h)

=> r = 5(12 - h)/12

(1/3)(22/7)((5(12 - h)/12)²(12 - h) = 25 * 11 / 7

=> 22(12 - h)³ = 3 * 25 * 11 * 12² / (5²)

=> 22(12 - h)³ = 33 * 12²

=> 2(12 - h)³ = 3 * 12²

=> (12 - h)³ = 216

=> (12 - h)³ = 6³

=> 12 - h = 6

=> h = 6

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