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Law Incorporation [45]
3 years ago
14

Find the volume of the oblique cone. Round your answer to the nearest hundredth.

Mathematics
1 answer:
Musya8 [376]3 years ago
6 0

<u>Given</u>:

The radius of the oblique cone is 2 cm.

The height of the oblique cone is 6 cm.

We need to determine the volume of the oblique cone.

<u>Volume of the oblique cone:</u>

The volume of the oblique cone can be determined using the formula,

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

where r is the radius and h is the height of the cone.

Substituting r = 2 and h = 6 in the above formula, we get

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

V=\frac{1}{3} \pi (4)(6)

V=\frac{24}{3} \pi

V=8 \pi

V=25.13

Thus, the volume of the oblique cone is 25.13 cm³

Hence, Option A is the correct answer.

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If triangle ABC is reflected over the y‐axis, reflected over the x‐axis, and rotated 180 degrees, where will point A' lie?
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Given that ABC is a triangle and is reflected over the y - axis, reflected over the x - axis and rotated 180°

We need to determine the coordinates of the point A'

<u>Reflection over the y - axis:</u>

The coordinates of the point A is (-2,1)

The transformation rule to reflect across the y - axis is (x,y)\rightarrow (-x,y)

Substituting the point (-2,1) in the rule, we get;

(-2,1)\rightarrow (2,1)

Thus, the coordinates of the point A after reflection over the y - axis is (2,1)

<u>Reflection over the x - axis:</u>

The transformation rule to reflect across the x - axis is (x,y)\rightarrow (x,-y)

Substituting the point (2,1) in the rule, we get;

(2,1)\rightarrow (2,-1)

Thus, the coordinates of the point A after reflection over the x - axis is (2,-1)

<u>Rotation about 180°:</u>

The transformation rule to rotate about 180° is (x,y)\rightarrow (-x,-y)

Substituting the point (2,-1) in the rule, we get;

(2,-1)\rightarrow (-2,1)

Thus, the coordinates of the point A after the rotation about 180° is (-2,1)

Therefore, the coordinates of the point A' is (-2,1)

Hence, Option B is the correct answer.

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