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Temka [501]
3 years ago
6

This soda can is going to be made from aluminum. How many square centimeters of aluminum are needed if the

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

170.35 cm² are needed to make the can of soda (not in the choices)

Step-by-step explanation:

The surface area of a cylinder = 2πrh + πr², where

  • r is the radius of its base
  • h its height
  • π is about 3.14

∵ The soda can is made from aluminum

∵ The can is shaped a cylinder with radius 3.5 cm

∴ r = 3.5

∵ Its height is 6 cm

∴ h = 6 cm

- The aluminium that needed to make the can is the surface area

   of the can

∵ The surface area of the can = 2πrh + πr²

- Substitute r by 3.5, h by 6 and π by 3.14

∴ The surface area of the can = 2(3.14)(3.5)(6) + (3.14)(3.5)²

∴ The surface area of the can = 131.88 + 38.465

∴ The surface area of the can = 170.345 cm²

- Round it to the hundredths' place

∴ The aluminium are needed = 170.35 cm²

170.35 cm² are needed to make the can of soda

Learn more:

You can learn more about the surface area in brainly.com/question/12041380

#LearnwithBrainly

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There is 1000cm3 of aluminum available to cast a trophy that will be in the shape of a right square pyramid. Is this enough alum
stealth61 [152]

The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

Step-by-step explanation:

The given is,

                    Volume of aluminium available is 1000 cubic centimeters

                    Shape of trophy is right square pyramid

                    Trophy has a base edge of 10 cm and slant height of 13 cm

Step:1

                     Formula for volume of right square pyramid,

                                               Volume, V = a^{2}\frac{h}{3}.....................................(1)

                     Where, a - Base edge value

                                  h - Height of pyramid

                      From given,

                                        a = 10 cm

                                        h = 13 cm

                      Equation (1) becomes,

                                           = 10^{2}(\frac{13}{3}  )

                                           = (100)(4.333)

                                           = 433.33 cm^{3}

             Volume of trophy = 433.33 cubic centimeters

             Compare with the volume of available aluminium and volume of right square pyramid,                          

            Volume of available aluminium > Volume of right square pyramid

                                               1000 cm^{3} > 433.33 cm^{3}

            So, the given volume of aluminium is enough to make right square pyramid shaped trophy.

Result:

          The 1000 cubic centimeters of aluminium is enough for aluminium a trophy  that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.

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