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Ne4ueva [31]
3 years ago
5

Find the missing dimension of the cylinder. Round your answer to the nearest hundredth.

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, h  = 15 m

Radius of cylinder, r = z m (Labelled as z)

Volume of cylinder, V = 1696.5\ m^{3}

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

V = \pi r^{2} h

Where r is the radius of cylinder

h is the height of cylinder

Putting the values of V, r \text{ and } h:

1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m

Hence, The missing dimension, radius = 6.00 m

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