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Vladimir79 [104]
3 years ago
12

The cone shaped storage tank has a height=14 feet respectively.Find the volume of liquid the tank can hold.Round your answer to

the integer, if necessary.Use 3.14 instead of pie
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
7 0

The complete question is;

The height and diameter of a cone-shaped storage tank are 9 feet and 14 feet respectively. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of π, that is 3.14.

Answer:

Volume = 462 ft³

Step-by-step explanation:

We are given;

Height;h = 9 ft

Diameter;d = 14 ft

So, radius;r = 14/2 = 7 ft

Volume of a cone is given by;

V = ⅓πr²h

Where π = 3.14

Thus;

V = ⅓ × 3.14 × 7² × 9

V = 461.58 ft³

Approximating to nearest integer gives; V ≈ 462 ft³

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Statements:                                              Reasons:

1)\text{ } AD\text{ bisects } \angle BAC                                  Given

2)\text{ } \angle BAD \cong \angle CAD                                    Definition of Bisector

\displaystyle 3) \text{ } A D \parallel E C                                               Given

\displaystyle 4)\text{ } \angle CAD\cong \angle ACE                                    Alternate Interior Angles Theorem*

\displaystyle 5) \text{ } \angle BAD\cong \angle BEC                                   Corresponding Angles Theorem*

6)\text{ } \angle CAD\cong \angle BEC                                   Substitution

7)\text{ } \angle ACE\cong\angle BEC                                    Substitution

\displaystyle 8)\text{ } AC = A E                                              Isosceles Theorem Converse

*Please refer to the attachment below.

Let me know if you have any questions!

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3 years ago
Read 2 more answers
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