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2 years ago

Find the volume of the cone. Round your answer to the nearest tenth.

Mathematics

2 answers:

Kamila [148]2 years ago

8 0

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

grigory [225]2 years ago

6 0

Hello!

To find the volume of a cone, use the formula: V = 1/3πr²h.

In the photo, the height is 6 units, and the diameter is 8 units. Since the radius is half the diameter, then the radius is 4 units.

V = 1/3π(4)²(6)

V = 1/3(6)(16)π

V = 2(16)π

V = 32π

V = 100.5309... This can be rounded to about 100.5.

Therefore, the volume of this cone, is about 100.5 units³.

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How does the graph of g(x) = <img src="https://tex.z-dn.net/?f=%28x%2B12%29%5E%7B2%7D" id="TexFormula1" title="(x+12)^{2}" alt="

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Horizontal translation of the parent graph

Step-by-step explanation:

<h2>Definitions:</h2>

In the vertex form of a quadratic function, f(x) = a(x - h)² + k, where:

(h, k) = vertex of the graph

a = determines the width and direction of the graph's opening.

A horizonal translation to the parent graph is given by, y = f(x - h), where:

h > 0 ⇒ Horizontal translation of h units to the right

h < 0 ⇒ Horizontal translation of |h | units to the left

In the graph of g(x) = (x + 12)², the vertex occurs at point (-12, 0).

While the vertex of the parent graph, f(x) = x² occurs at point, (0, 0).

<h2>Answers:</h2>

Since the vertex of g(x) occurs at point, (-12, 0), substituting the value of (h, k ) into the vertex form will result into:

g(x) = a(x - h)² + k

g(x) = [x - (-12)]² + 0

g(x) = (x + 12)² + 0

g(x) = (x + 12)²

Therefore, the graph of g(x) = (x + 12)² represents the horizontal translation of the parent graph, f(x) = x², where the graph of g(x) is horizontally translated 12 units to the left.

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