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13 days ago

A cylinder has a volume of 200 mm3 and a height of 17 mm.

Mathematics

1 answer:

Svet_ta [12.7K]13 days ago

4 0

Response:

The cylinder's radius is measured at 1.93mm.

Comprehensive guide:

1) The equation to determine the unknown radius: V= pi r^2 (h)

(where V is volume, pi=3.14, r=radius, h=height)

2) Substitute all known variables into the formula: 200=pi r^2 (17)

3) Calculate pi multiplied by 17 and round it to the nearest hundredth to get 53.401707511 -> 53.41, leading to the equation: 200= 53.41 r^2

4) Isolate r^2 by dividing both sides by 53.41

200/53.41= 53.41r^2/53.41 (resulting in 3.74461711 rounded to the nearest hundredth -> 3.74) ---> 3.74=r^2

5) Square both sides to eliminate the exponent: squared 3.74 = squared r^2

6) Your equation becomes 1.933907961 = r, round the entire decimal to two decimal places to obtain 1.93 (19.3 = r)

7) Hence, the radius of the cylinder with a volume of 200 mm^3 and a height of 17 mm is 1.93 mm.

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