Question

PLEASE HELP ME.Math work: The Head Chef has asked you to create a delicious baked dessert that will have the same volume if it is served in a cylinder,Cone,or sphere. Choose one cylindrical, one conical & one Spherical baking dish that have the same or very similar volumes and can be used interchangeably to serve your dessert. Justify your answer by showing your math work, Round to the nearest hundredth use n-3.14

Answer 1

Large baking dish of cylinder, cone and sphere.

Explanation:

When we compute the volume of each of the small and large baking dish taking
`\pi`=3.14, we get

Volume of cylinder (small dish)=
`\pi`(r^2)(h)

=3.14(
`(3)/(2)`)^2*3

=
`(3.14*9*3)/(4)`

= 21.195

Volume of cylinder (large dish)=
`\pi`(r)^2(h)= 3.14*(3)^2(3)

=84.78

Similarly, volume of cone (smaller dish)=
`(1)/(3) \pi r^(2) h`

= 7.065

Volume of cone (larger dish)= 84.78

Volume of sphere(smaller dish)=
`(4)/(3) \pi r^(3)`

= 14.13

Volume of sphere (larger dish) = 85.17 (approx)

Hence, we get that larger baking dish have approximately same volume.

Therefore, large baking dish of cylinder, cone, sphere will be chosen.