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mezya [45]
3 years ago
15

A cone that has volume 1026.25mm^3 and height 20mm. Find the radius of the cone

Mathematics
2 answers:
Maru [420]3 years ago
8 0

Answer:

7 mm

Step-by-step explanation:

volume = 1026.25mm^3

height 20mm.

vol. = 1/3 π r² h

1026.25 = 1/3 π r² (20)

r² =    1026.25 / (1/3 π  (20) )

r = 7 mm

radius of the cone = 7 mm

Rudik [331]3 years ago
5 0

Answer:

r = 7 mm

Step-by-step explanation:

given:

A cone that has volume 1026.25mm^3 and height 20mm.

Find:

the radius of the cone

solution:

volume of a cone = 1/3 π r² h

where

vol = 1026.25 mm³

h = 20 mm

plugin values into the formula:

vol. = 1/3 π r² h

1026.25 = 1/3 π r² (20)

r² =  <u>  1026.25   </u>

        1/3 π  (20)

r = \sqrt{49}

r = 7 mm

therefore,

the radius of the cone = 7 mm

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