A 9 cm tall cone shaped paper cup can hold up to 58.9 cm3 of water. What is the minimum amount of paper needed to make the paper

Question

Kryger [21]

3 years ago

9

A 9 cm tall cone shaped paper cup can hold up to 58.9 cm3 of water. What is the minimum amount of paper needed to make the paper

cup, assuming no overlap in the paper? Use 3.14 for π.

Mathematics

2 answers:

IgorC [24] · Answer 1 · 2022-07-12T15:31:59+03:00

Volume of cone is given by:
V=1/3πr²h
thus the radius of the cone will be:
58.9=1/3×3.14×r²×9
r²=6.25265
r~2.5 cm
thus the area of the cone will be:
A=πr(r+√(h²+r²))
A=3.14×2.5(2.5+√(2.5²+9²))
A=92.9500 cm²
Thus the area of material needed to make the cup is 92.95 cm²

Naily [24] · Answer 2 · 2022-07-12T16:50:59+03:00

Naily [24]3 years ago

3 0

Answer:

A minimum of 93 cm squared

Step-by-step explanation: