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Zarrin [17]
3 years ago
13

1 pc

Mathematics
1 answer:
Brut [27]3 years ago
4 0

Answer:

30

Step-by-step explanation:

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EMERGENCY!<br><br> How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Fantom [35]

Answer:

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3 0
3 years ago
A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis. What is the volume of the figure?
Luden [163]

Given:

A triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis.

To find:

The volume of the figure.

Solution:

Points A(0,0) and C(0,9) lies on the y-axis. Length of AC is 9 units.

Points A(0,0) and B(6,0) lies on the x-axis. Length of AB is 6 units.

If a triangle with vertices A(0,0), B(6,0), and C(0,9) is rotated 360 about the y-axis, then it will form a cone with radius 6 units and height 9 units.

Volume of a cone is

V=\dfrac{1}{3}\pi r^2h

where, r is radius of the base and h is vertical height of the cone.

Putting r=6 and h=9, we get

V=\dfrac{1}{3}\pi (6)^2(9)

V=\pi (36)(3)

V=108\pi

Therefore, the volume of the figure is 108\pi sq. units.

7 0
3 years ago
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