Please help!

Given that the glass can hold a maximum volume of 60 cm3, what is the height of the glass? Round to the nearest tenth of a centimeter.

Please help Given that the glass can hold a maximum volume of 60 cm3 what is the height of the glass Round to the nearest tenth of a centimeter class=

Respuesta :

Answer:

The volume of cone = Maximum holding of glass = 60 cube cm(cm^3)

Step-by-step explanation:

Cone formula:

[tex] v = \frac{1}{3} \pi \: r {}^{2} h[/tex]

The radius is 3cm and Volume is 60cm^3.

if pi =~ 3 So the "h" is 6.66 cm.

"h" is distance from cone's head to its base.

The "H"( height of glass) = 6.66 + 7 = 13.6 =~ 14

Ver imagen jimmy11143

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Answer:

  13.4 cm

Step-by-step explanation:

The volume of the cone is given by ...

  V = 1/3πr²h

For the given dimensions, we have ...

  60 cm³ = 1/3π(3 cm)²h

  20/π cm = h ≈ 6.37 cm . . . . . . . . . . . divide by the coefficient of h

The overall height of the glass, H, is 7 cm more than the value of h.

  H = 7 cm +6.4 cm = 13.4 cm

The height of the glass is 13.4 cm.