3 years ago

A cone with volume 2880 m³ is dilated by a scale factor of 1/4. What is the volume of the resulting cone?

Mathematics

2 answers:

statuscvo [17]3 years ago

8 0

Answer:

45 m^3

Step-by-step explanation:

Proof Is in the File Attachment.

Confirmation that this is Correct.

labwork [276]3 years ago

5 0

The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3

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Which of the following points is in the solution set of y > -x2 + 5? (0, 5) (1, 3) (2, 4)

mylen [45]

Answer:

(2, 4)

Step-by-step explanation:

The only point that satisfies the inequality is (2, 4).

(0, 5) : -0^2 +5 = 5 . . . . . not > 5

(1, 3) : -1^2 +5 = 4 . . . . . . 3 is not > 4

(2, 4) : -2^2 +5 = 1 . . . . . . 4 is greater than 1, so this point is in the solution set.