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Ulleksa [173]
3 years ago
9

Question 6. Find the volume.

Mathematics
1 answer:
dalvyx [7]3 years ago
6 0

Answer:

128π ft³ ; 401.92 ft³

Step-by-step explanation:

The volume of the cylinder Given above :

Volume of cylinder, V = πr²h

r =Radius = 4 ; h = 8 ft

V = π * 4² * 8

V = 16 * 8 * π

V = 128π ft³

Using π = 3.14

V = 128 * 3.14 = 401.92 ft³

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3 years ago
Answer these for 22 points
qwelly [4]
7. Slope of AD = 4/16 = 1/4

8. ΔAEC = 3/12 = 1/4
.. ΔDFB = 2/8 = 1/4

9. The angles at E, G, and F are right angles. Lines CE and BF are parallel, so the alternate interior angles at B and C where the transversal AD crosses them are equal. The triangles of interest are similar by AA~.

10. See problem 7. The ratio is the same.

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4 years ago
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topjm [15]

Answer:

The correct options are a and b.

Step-by-step explanation:

It is given that triangle ABC with segment AD drawn from vertex A and intersecting side BC.

Two triangle are called similar triangle if their corresponding sides are proportional or the corresponding interior angle are same.

To prove ΔABC and ΔDBA are similar, we have to prove that corresponding interior angles of both triangle as same.

If segment AD is an altitude of ΔABC, then angle ADB is a right angle.

\angle BDA=90^{\circ}

The opposite angle of hypotenuse is right angle. If segment CB is a hypotenuse, then angle ABC is a right angle.

\angle BAC=90^{\circ}

In triangle ΔABC and ΔDBA

\angle ABC\cong \angle DBA              (Reflexive property)

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By AA rule of similarity ΔABC and ΔDBA are similar.

Therefore correct options are a and b.

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3 years ago
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Answer:

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