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If the area of the base of a cone is 51 cm² and its volume is 85 cm³ , thenbthe vertical height of the cone is given as :

a. 5/6 cm
b. 5/3 cm
c. 5/2 cm
d. 5 cm

Respuesta :

sqdancefan

Answer:

  d.  5 cm

Step-by-step explanation:

You want the height of a cone with base area 51 cm² and volume 85 cm³.

Volume

The volume of the cone is given by ...

  V = 1/3Bh

where B is the base area and h is the height.

Then the height is ...

  3V/B = h

  3(85 cm³)/(51 cm²) = h = 5 cm

The height of the cone is 5 cm, choice D.

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