contestada

Sandra has a cylindrical mold for making candles with a radius of 3.4 cm and a height of 6 cm. If Sandra uses 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?

Respuesta :

calculista

Answer:

[tex]14\ candles[/tex]

Step-by-step explanation:

step 1

Find the volume of the cylindrical mold

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=3.4\ cm[/tex]

[tex]h=6\ cm[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]V=(3.14)(3.4)^{2}(6)[/tex]

[tex]V=217.79\ cm^{3}[/tex]

step 2

Find the volume of the wax

The volume is equal to

[tex]V=(15)(12)(18)[/tex]

[tex]V=3,240\ cm^{3}[/tex]

step 3

Divide the volume of the wax by the volume of the cylindrical mold, to calculate the number of candles

[tex]3,240/217.79=14.9\ candles[/tex]

Round down

[tex]14\ candles[/tex]

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