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bazaltina [42]
3 years ago
11

A right cylinder has a diameter of 40 mm and a height of 30 mm, as shown. Semester Test, Part 1 What is the volume of the cylind

er?
a. 37,680 mm3
b. 1256 mm3
c. 150,720 mm3
d. 12,000 mm3
Mathematics
2 answers:
sukhopar [10]3 years ago
8 0
Volume = Area * height 
 = (pi/4)*D^2 * h
 = (pi/4)*(40)^2 * 30 
  = 37,680 mm3
so, the answer is (a)
lions [1.4K]3 years ago
3 0

Answer: a. 37,680\ mm^3

Step-by-step explanation:

We know that the volume of a cylinder is given by :-

V=\pi r^2 h, where r is radius and h is height of the cylinder.

Given: The diameter of cylinder = 40 mm

The radius of cylinder =r=\dfrac{40}{2}=20\ mm

The height of cylinder = 30 mm

Then , the volume of the cylinder will be :-

V=(3.14) (20)^2 (30)=37680\ mm^3

Hence, the volume of the cylinder = V=37680\ mm^3

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Using <u>linear function concepts</u>, it is found that the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which represents by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • The explanatory variable fat is the input.
  • The response variable calories is the output.

The equation is:

y = 121 + 1.42x

  • The slope is of 1.42, which means that the amount of calories increases by 1.42 when the amount of fat increases by 1 gram.
  • The y-intercept is of 121, which means that if there are 0 grams of fat, there will be 121 calories.

Thus, the correct option is:

The amount of calories in a cheeseburger increases by 1.42 for every one gram of fat. The calorie amount estimated by this model is 121 if there are zero grams of fat.

A similar problem is given at brainly.com/question/16302622

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