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3 years ago

-|7(-5)+7(-8)|-|-6(-7)|

Mathematics

1 answer:

sweet-ann [11.9K]3 years ago

6 0

Answer:

543d3fff4r3

Step-by-step explanation:

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Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an

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<h3><u>Question:</u></h3>

Cylinders A and B are similar solids. The base of cylinder A has a circumference of 4π units. The base of cylinder B has an area of 9π units.

The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?

<h3><u>Answer:</u></h3>

Dimensions of cylinder A are multiplied by $\frac{3}{2}$ to produce the corresponding dimensions of cylinder B

<h3><u>Solution:</u></h3>

Cylinders A and B are similar solids.

The base of cylinder A has a circumference of $4 \pi$ units

The base of cylinder B has an area of $9 \pi$ units

Let "x" be the required factor

From given question,

Dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B

Therefore, we can say,

$\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }$

<h3><u>Cylinder A:</u></h3>

The circumference of base of cylinder (circle ) is given as:

$C = 2 \pi r$

Where "r" is the radius of circle

Given that base of cylinder A has a circumference of $4 \pi$ units

Therefore,

$4 \pi = 2 \pi r\\\\r = 2$

Thus the dimension of cylinder A is radius = 2 units

<h3><u>Cylinder B:</u></h3>

The area of base of cylinder (circle) is given as:

$A = \pi r^2$

Given that, the base of cylinder B has an area of $9 \pi$ units

Therefore,

$\pi r^2 = 9 \pi\\\\r^2 = 9\\\\r = 3$

Thus the dimension of cylinder B is radius = 3 units

$\text{Dimensions of cylinder A} \times x = \text{Dimensions of cylinder B }\\\\2 \times x = 3\\\\x = \frac{3}{2}$

Thus dimensions of cylinder A are multiplied by $\frac{3}{2}$ to produce the corresponding dimensions of cylinder B

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A label covers the lateral surface area of a can. The can has a diameter of 2.6 inches and a height of 4 inches. What is the lat

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Answer:

First of all, lateral means the sides of the can in this case.

Calculate the surface area of the can, subtract the area of the top and bottom which are two circles, and theres the answer!

Step-by-step explanation:

1. SA= 2πrh+2πr^2

= 2(π)(1.3)(4) + 2(π)(1.3^2)

= 43.29- (π1.3^2)^2

=15.09

Please note that ^(a number) means to the power of (that number). Hope this helps!

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