Question

The radius and height of a wax made cylinder are 6 cm and 12 cm respectively. A cone of same base radius and height has
been made from this cylinder by cutting out.
(a) Find the volume of cone
(b) How many candles with 1 cm radius and 12 cm height can be made using the remaining wax​

Answer 1

Answer:

(a) Volume of cone =

$(1 \div 3)\pi {r}^{2} h$

1/3 * 22/7 * 6*6*12

= 452.7

(b) volume of candle( cylinder) =

$\pi {r}^{2} h$

22/7 * 1*1*12

= 37.71

Answer 2

The volume of cone = 452.16 cm²

number of candles = 24

Step-by-step explanation:

Radius of  wax cylinder = radius of cone = 6 cm

height of wax cylinder = height of cone = 12 cm

volume of wax cylinder = $\pi r^2h$

= $\pi (6)^2(12)$

= $432\pi cm^2$

volume of cone = $\frac{1}{3} \pi r^2h$

= $\frac{1}{3} \pi  (6)^2(12)$

= $144\pi  cm^2$ =$452.16 cm^2$

volume of the remaining wax= $432\pi - 144\pi$

= $288\pi cm^2$

radius of candle = 1 cm

height of the candle = 12 cm

candle is in the shape of the cylinder

therefore

volume of candle = $\pi r^2h$

= $\pi (1)^2(12)$

= $12\pi cm^2$

number of candles = $\frac{288\pi }{12\pi }$ = 24 candles

hence,

The volume of cone = 452.16 cm²

number of candles = 24

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