The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.

What is the volume to the nearest tenth of a cubic inch, of the plastic object?

97.6 in3

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the cylinder and subtract the volume of the cone:

Volume of a cylinder: π (diameter /2) ^2 (height)

Vcy = π (4 /2) ^2 (8) = π (2) ^2 (8) =100.5 in3

Volume of a cone = 1/3 π (diameter /2) ^2 (height)

V Co = 1/3 π (4/2) ^2 (0.7) = 1/3 π (2) ^2 (0.7) = 2.9 in3

Finally:

Volume of the cylinder - volume of the cone = 100.5-2.9 = 97.6 in3

Feel free to ask for more if needed or if you did not understand something.

parallel and congruent

step-by-step explanation:

the movement of translation is linear.   these have the same translation because you are using the same rule for each point of the triangle so you will see the same slope being used to get from a point on the triangle to its image.

same slope!   you should think parallel when you see those 2 word together (well unless it's the same line but it can't be because we are coming from different points here)

congruent! because each point is being moved the same distance.