Question

Which container has the greatest surface area? (Use 3.14 for π .)

Answer 1

Answer:

It is the Rectangular Prism.

Step-by-step explanation:

Sry, I don't have enough time to write out an explanation. Hope the answer helped!

Answer 2

Answer:

the cylinder container has the greatest surface area.

Step-by-step explanation:

The volume of cone is calculated by $v=\frac{1}{3}\times\pi\times r^{2}\times h$

The volume of cylinder is calculated by $v=\pi\times r^{2}\times h$

The volume of square pyramid is calculated by $v=\pi\times r^{2}\times h$

The volume of rectangular prism is calculated by $v=\frac{1}{3}\times B\times h$

The radius of cone is $\frac{6}{3}$=$2in$, and slant height is 10 in.

height is calculated as h² = l²- r²

h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

The volume of cone is  $=\frac{1}{3}\times 3.14\times 3^{2}\times 9.54$

$=\frac{1}{3}\times 3.14\times 9\times 9.54$

v=89.8668

The volume of cylinder is $=3.14\times 3^{2}\times 10$

$=3.14\times9\times 10$

v=282.6

The volume of square pyramid

The height of pyramid is calculated as h² = l²- r²

h² = 10²- 3²

h² = 100- 9

h² =91

h= 9.54

$v=3.14\times 3^{2}\times 9.54$

$v=3.14\times 9\times 9.54$

$v=269.60$

The volume of rectangular prism$v=\frac{1}{3}\times 6\times 10$

$v=20$

Hence, the cylinder container has the greatest surface area.