Question

Abigail has a cylindrical candle mold with the dimensions shown. If Abigail has a rectangular block of wax measuring 15 cm by 12 cm by 18 cm, about how many candles can she make after melting the block of wax? Round to the nearest tenth.

Answer 1

Find the volume of the candle using the formula for volume of a cylinder:

V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8

Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.

Now divide the volume of the block by the volume of a candle:

3240 / 217.8 = 14.88

Round to the nearest tenth = 14.9 candles.

Answer 2

Number of cylindrical candles after melting the rectangular block  is 14.9.

What is cylinder?

" Cylinder is a three dimensional surface formed by two parallel lines and two parallel circular base."

What is volume?

" Volume is the total amount of space occupied by any 3 dimensional body."

Formula used

Volume of a cylinder = π r²h

Volume of a rectangular block = length × width ×height

According to the question,

Height of a cylinder = 6cm

radius of cylinder = 3.4cm

Length of a block = 15cm

width of a block = 12cm

height of a block = 18cm

Volume of a cylinder = $3.14$× $(3.4)^{2}$×$6$

                                  =217.8 cubic cm

Volume of rectangular block = $15$ × $12$ × $18$

                                                 = 3240 cubic cm

Number of candles = Volume of rectangular block / volume of cylinder

                                 = $\frac{3240}{217.8}$

                                 = 14.88

                                 = 14.9 (nearest tenth)

Hence the Number of cylindrical candles after melting the rectangular block  is 14.9.

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