An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill the bottom half of the hourglass full of salt, how much salt will you need? Explain the method you would use to find the amount of salt.

Question

Maren Daugherty

Mathematics

9 December, 01:27

An hourglass, composed of two identical cones, is 12 cm tall. The radius of each cone is 3 cm. If you want to fill the bottom half of the hourglass full of salt, how much salt will you need? Explain the method you would use to find the amount of salt.

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Answers (1)

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Linus · Answer 1

The volume of a cone is V = (1/3) pi r²h

it was given

h=12cm

radius=3cm

the volume of the first cone is V1 = 1/3) pi r²h1

where h1 = h/2=6cm

so its volume is V1=1/3) xpix3²x6=56.52cm^3

and since the two cones are identical so V1=V2 = 56.52cm^3,

we need 56.52cm^3 or salt