108k views
4 votes
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-example-1
User ZeZNiQ
by
3.6k points

2 Answers

6 votes

Answer:

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

Explanation:

Cone formula:


v = (1)/(3) \pi \: r {}^(2) h

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

Please help! Given that the glass can hold a maximum volume of 60 cm3, what is the-example-1
User Burton
by
4.3k points
3 votes

9514 1404 393

Answer:

13.4 cm

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.

User Sound Blaster
by
4.4k points