Question

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Answer 1

The volume of the solid is
`1,021m^3`

Explanation:

1. Cylinder

For find the volume of a cylinder we use the next formula:

`V_(cylinder) = \pi h r^2 = \pi \cdot 9m\cdot (5m)^2 \approx 706.86m^3`

Then the volume of the cylinder is equal to
`706.86m^3`

2. Cones

For find the volume of a cone we use the next formula:

`V_(cone) = \pi (h)/(3) r^2 = \pi \cdot (6m)/(3) \cdot (5m)^2 \approx 157.08m^3`

However there are two cones so we have to multiply the volume of one cone for two and we get the total volume for the cones which is
`314.16m^3`

3. Sum of the volumes

Finally we sum the volumes of the cylinder and the cones for get the final result

`V_(cylinder) + V_(cones) = 706.86m^3 + 314.16m^3 \approx 1021m^3`

So approximating the result is
`1021m^3`