What are the answers to b,c,and d?
1 answer:
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Answer:
by ASA
Step-by-step explanation:
In triangle PTU and triangle PSQ
[Side] [Given]
[Angle]
Vertical angles are those angles which are opposite to each other.
{Angle]
ASA(Angle-Side-Angle) postulates states if two angles and one included side of one triangle are congruent to two angles and the included side of the other triangle, then these triangle are congruent.
by ASA postulates;
The volume of the partial cone is the volume of the entire funnel minus the volume of the cylindrical part.
The volume of a cylinder is given by:
where: r is the radius of the cylinder and h is the height of the cylinder.
Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:
Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.
The volume of a cylinder is given by:
where: r is the radius of the cylinder and h is the height of the cylinder.
Given that the cylindrical part of the funnel has a height of 1.5 cm and a diameter of 1.5 cm, thus the radius is 1.5 / 2 = 0.75 cm and the volume is given by:
Therefore, the volume of the partial cone is given by 16.59375 - 2.65072 = 13.94303 cubic cm.