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FrozenT [24]
3 years ago
10

The height of a cone is half the diameter of its base. If the cone’s height is 4 inches, what is the cone’s volume to the neares

t cubic inch?
Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
8 0

Answer:

67 cubic inches

Step-by-step explanation:

Given height of cone = 4 inches

Given height  of cone is  half of diameter of base of cone

If D is diameter, then

4 inches = 1/2 D

=> D = 8 inches

Radius for any circle  is half of diameter of circle.

Thus for given cone

radius = 1/2 D = 1/2 * 8 = inches.

Area of circle is given by \pi r^2 where r is radius of circle.

Thus area of given base of cone is given as below

\pi 4^2\\=> 3.14 *16\\=>50.24

We know that volume of cone is given by

volume = 1/3(area of base * height)

Thus,

volume of given cone = 1/3(50.24)*4  =66.98 cubic inches

volume of cone in nearest cubic inches is 67 .

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Explanation:

Complementary angle means 2 angel add together and create a right angle (90 degree).

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kari74 [83]

Answer:

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+ 4    +4                        Do inverse operations by adding 4 on both sides

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Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

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Answer:

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Step-by-step explanation:

The range of a graph are the y-values that are plotted on the vertical axis (y-axis). In order words, the range values, are the possible set of output values of that are plotted on the vertical axis on the graph.

"[ ]" is usually used to denote the possible set of values.

Therefore, the range of the given graph, as we can see from the y-axis, include values from 3 to 5. Therefore, the range of the graph is [3, 5].

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