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3 years ago

Find the volume of this cylinder. give your answer to 1 decimal place base is 11cm. length is 14cm

Mathematics

1 answer:

nlexa [21]3 years ago

3 0

Answer:

Volume = 1330.6cm³

Step-by-step explanation:

Step one

This problem bothers on the mensuration of solid shapes a cylinder.

We know that the volume of a cylinder is expressed as

V= πr²h

Step two

Given data

Base of the cylinder /diameter = 11cm

Hence radius = 11/2= 5.5cm

Length /height of cylinder = 14cm

Step three

Substituting our given data we have

Volume = 3.142*(5.5)²*14

Volume = 3.142*30.25*14

Volume = 1330.637cm³

to 1 decimal place we have

Volume = 1330.6cm³

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Which of the following trigonometric ratios are correct?

den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenuse
cosA = adjacent/hypotenuse
tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/c
cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0

3 years ago

What is the surface area of the above composite object made out of two rectangular prisms?

aleksandrvk [35]

Answer:

550 mm^2

Step-by-step explanation:

A net can be drawn as shown in the first figure attached. Each square represents 5 mm by 5 mm, so is 25 mm^2. Altogether, there are 22 of them, so the total area is ...

(25 mm^2)·22 = 550 mm^2

The second attachment shows that net folded up to make the given figure.

_____

In the first attachment, the green shades represent the left- and right-side faces. (Darker green is left side.) The red and blue shades represent the front- and back-side faces. The white rectangles represent the top and bottom faces. The dark black lines are the cut lines. If you want to fold the figure up, the lighter lines are the fold lines.

The second attachment is just verification that all faces are accounted for and the net actually corresponds to the given figure.