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

cone
cylinder
square pyramid
rectangular prism

Which container has the greatest surface area? (Use 3.14 for π .) cone cylinder square-example-1

2 Answers

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Answer:

It is the Rectangular Prism.

Explanation:

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

User Burnt Toast
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1 vote

Answer:

the cylinder container has the greatest surface area.

Explanation:

The volume of cone is calculated by
v=(1)/(3)*\pi* r^(2)* h

The volume of cylinder is calculated by
v=\pi* r^(2)* h

The volume of square pyramid is calculated by
v=\pi* r^(2)* h

The volume of rectangular prism is calculated by
v=(1)/(3)* B* h

The radius of cone is
(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
=(1)/(3)* 3.14* 3^(2)* 9.54


=(1)/(3)* 3.14* 9* 9.54

v=89.8668

The volume of cylinder is
=3.14* 3^(2)* 10


=3.14*9* 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* 3^(2)* 9.54


v=3.14* 9* 9.54


v=269.60

The volume of rectangular prism
v=(1)/(3)* 6* 10


v=20

Hence, the cylinder container has the greatest surface area.

User David Myers
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4.4k points