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wariber [46]
3 years ago
8

Will reward brainleist

Mathematics
2 answers:
Elza [17]3 years ago
6 0

Answer:

Volume=207.24 mm^{3}

Step-by-step explanation:

Given:

From the given figure.

Cone height = 7 mm

Cylinder height = 5 mm

Base radius of the cylinder = base radius of the cone = 3 mm

The volume of the given figure is

Volume = volume of cylinder + volume of cone-----------(1)

The volume cylinder is.

V = \pi r^{2} h ----------(2)

Where: r = radius of the cylinder, h = height of the cylinder.

Put the value of height and radius of the cylinder in equation 2.

V = 3.14\times 3^{2}\times 5

V = 3.14\times 9\times 5

V = 141.0\ mm^{3}

The volume of the cylnder is 141.3 mm^{3}

The volume cone is.

V = \pi r^{2} \frac{h}{3} --------------(3)

Where: r = base radius of the cone, h = height of the cone.

Put the value of height and base radius of the cone in equation 3.

V = 3.14\times 3^{2}\times \frac{7}{3}

V = 3.14\times 9\times \frac{7}{3}

V = 3.14\times 3\times 7

V = 65.94\ mm^{3}

The volume of the cone is 65.94 mm^{3} .

Put the value of the volume of cone and cylinder in equation 1.

Volume=141.3+65.94

Volume=207.24 mm^{3}

Therefore, the volume of the given figure is 207.24 mm^{3}

nexus9112 [7]3 years ago
4 0

Answer:

the answer is 207.2

Step-by-step explanation:

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Answer:

His score decreased by 9 percent this time.

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From his first history exam he had a score of 90 percent. The difference between his first score and present score is given by

90 - 81 = 9

6 0
2 years ago
I'm kinda stuck. Can anyone help?
BARSIC [14]

Answer:

C) 147 ft²

Step-by-step explanation:

Bottom rectangle:

A = bh

A = 14(7)

A = 98

Top rectangle:

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A = 7(7)

A = 49

Combined:

98 + 49

147

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Step-by-step explanation:

4 0
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Solve for x. Evaluate and round your answer to 1 decimal place(tenths place). 10x=1200
Mandarinka [93]

Answer:

<h2>x = 3.1</h2>

Step-by-step explanation:

<h3>{10}^{x}  = 1200</h3>

<u>To solve first take logarithm to both sides</u>

That's

<h3>log_{10}(10) ^{x}  =  log_{10}(1200)</h3><h3 /><h3>log_{10}(10)^{x}  = x log_{10}(10)</h3>

But

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So we have

x =  log_{10}(1200)

<u>Write 1200 as a number with the factor 100</u>

That's

1200 = 100 × 12

So we have

<h3>x =  log_{10}(100 \times 12)</h3>

<u>Using the rules of logarithms</u>

That's

<h3>log_{a}(x \times y)  =  log_{a}(x)  +  log_{a}(y)</h3>

Rewrite the expression

That's

<h3>x =  log_{10}(100)  +  log_{10}(12)</h3><h3 /><h3>x =  log_{10}(10)^{2}  +  log_{10}(12)</h3><h3>x = 2 log_{10}(10)  +  log_{10}(12)</h3><h3>log_{10}(10)  = 1</h3><h3 /><h3>x = 2 +  log_{10}(12)</h3>

x = 3.079

So we have the final answer as

<h3>x = 3.1 to one decimal place</h3>

Hope this helps you

8 0
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Answer:

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