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the diagram shows a gizmo where a cylinder is connected to a hemisphere with the same radius
the gizmo is held vertically by a thin straight rod which is connected to a horizontal plate and the top of the rim of the cylinder
the total volume of the gizmo is 9.2cm³
the radius of the hemisphere and cylinder is 0.8cm
calculate the length of the rod
angle on rod and plate=72˚
another angle is 90˚

Respuesta :

demiakoms0

Answer:

5.1cm

Step-by-step explanation:

volume of hemisphere = 1.07cm³

9.2-1.07 = 8.13

volume of cylinders = 8.13cm³

height of cylinder = 4.04cm

total height of gizmo = 4.04+0.8=4.84

4.84/sin(72) = 5.1cm

azikennamdi

The length of the rod based on the information provided is equal to 5.1 Centimeters. See calculation below.

Steps to calculating the above solution

Recall that the Volume of the Hemisphere has been given as: 1.07 cm³; and

To arrive at the volume of the Cylinder, we must subtract the volume of the Hemisphere from the volume of the Gizmo.

Hence: 9.2 - 1.07 = 8.13cm ³

To get the height of the cylinder, we deploy the formula for calculating the volume of a cylinder which is:

V = πr2h.

Hence, H = V/πr2

= 4.04 cm

Total height therefore, of the Gizmo = 4.04 + 0.8 = 4.84/

Therefore, the length of the rod =

4.84/Sin (72) = 5.1 cm.

Learn more about exercises related to the length of a rod at:

https://brainly.com/question/888072

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