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tester [92]
2 years ago
15

A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3​

Mathematics
1 answer:
stepladder [879]2 years ago
4 0

The volume of a cone with the same radius and height as the cylinder is 40cm³.

<h3>What is the volume of the cone?</h3>

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

  • n = 22/7
  • r = radius

Volume of a cone = 1/3(nr^2h)

The volume of a cone, is 1/3 that of a cylinder.

Volume of the cone = 1/3 x 120 = 40

To learn more about the volume of a cone, please check: brainly.com/question/13705125

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11. This picture shows a table in the shape of a regular hexagon.
disa [49]

Answer:

Sum of interior angles = 720°

One interior angle = 120°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides in a polygon

Therefore, one angle in a regular polygon will be (180°(n-2))÷n

Hence

Sum of interior angles= 180°(6-2)

= 720°

One interior angle = 720°÷6

= 120°

3 0
3 years ago
A triangle has sides with lengths 5, 12, and 13. Verify this is a Pythagorean triple. Approximate the acute angles in this trian
djyliett [7]

A triangle with lengths 5, 12, and 13 is a Pythagorean triple

The approximate acute angles are 22.6° and 67.4°

Pythagorean triple

Pythagorean triple consist of positive number(a, b, c) such that it obeys the rule:

  • c² = a² + b²

A triangle whose sides form a Pythagorean triple is called a right angle triangle.

The longest side is the hypotenuse side.

Therefore,

  • 5² + 12²
  • 25 + 144 = 169
  • √169  = 13

Therefore,

5² + 12² = 13²

This means the triangle is a Pythagorean triple.

<h3>Acute angles</h3>

Acute angles are angles that are less than 90 degrees. This means the other two angles are acute angle.

Therefore, let's find them

  • tan ∅ = opposite / adjacent = tan ∅ = 5 / 12 = ∅ = 22.6198649155 = 22.6°
  • 180 - 22.6 - 90 = 67.4°

learn more on Pythagorean triple here: brainly.com/question/2293263?referrer=searchResults

7 0
2 years ago
Read 2 more answers
A rectangular prism has a volume of 100 cubic meters. One of the dimensions is 5 meters. Which pair of measurements could be the
natali 33 [55]

Answer:

1, 4, and 5

Step-by-step explanation:

1 is correct because 5*5=25*4=100

2 is incorrect because 5*5=25*5=125

3 is incorrect because 5*4=20*4=80

4 is correct because 5*20=100*1=100

5 is correct because 5*2=10*10=100

6 is incorrect because 5*10=50*10=500

4 0
3 years ago
F(x) = x^2+3; g(x) = square root of x-2 find f(g(x))
Anettt [7]
F(g(x)) = x + 1 . Just replace square root of x-2 to x in f(x)
5 0
3 years ago
C-7.6=-4 what is the value of c
9966 [12]
C - 7.6 = -4
c = -4 + 7.6
c = 3.6
4 0
3 years ago
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