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evablogger [386]
3 years ago
14

What’s the volume of 4.3ft 5.2ft cone round to nearest hundredth

Mathematics
1 answer:
Vika [28.1K]3 years ago
5 0

Answer:

Pick the best solution.

Step-by-step explanation:

Volume of a cone is V = ⅓πr²h

If cone diameter is 4.3

V = ⅓π(4.3/2)²(5.2) = 25.17148... ≈ 25.17 ft³

If cone radius is 4.3

V = ⅓π(4.3)²(5.2) = 100.685950... ≈ 100.69 ft³

If cone diameter is 5.2

V = ⅓π(5.2/2)²(4.3) = 30.439938... ≈ 30.44 ft³

If cone radius is 5.2

V = ⅓π(5.2)²(4.3) = 121.75975... ≈ 121.76 ft³

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<em>Question:</em>

<em>If one basket contains five bottles each weighing 7 1/4 and the other basket has six apples each weighing 6 1/2 ounces. Which basket is heavier and by how much ?</em>

Answer:

The basket of bottles weighs more than the basket of apples by 3\frac{3}{4} ounces

Step-by-step explanation:

Given

Bottles = 5

Weight(Bottle) = 7\frac{1}{4}

Apples = 6

Weight(Apple) = 6\frac{1}{2}

Required

Determine which basket is heavy

and by how much?

First, we need the total weight of each basket.

For the bottles' basket

Total\ Weight = Weight * Bottles

Total\ Weight = 7\frac{1}{4} * 5

Total\ Weight = \frac{29}{4} * 5

Total\ Weight = \frac{29 * 5}{4}

Total\ Weight = \frac{145}{4}

Total\ Weight = 36\frac{1}{4}

For the bottles' basket

Total\ Weight = Weight * Apples

Total\ Weight = 6\frac{1}{2} * 5

Total\ Weight = \frac{13}{2} * 5

Total\ Weight = \frac{13* 5}{2}

Total\ Weight = \frac{65}{2}

Total\ Weight = 32\frac{1}{2}

By comparing both total weights, 36\frac{1}{4} > 32\frac{1}{2}

Hence:

The basket of bottles weighs more than the basket of apples

Calculating the difference:

Difference = 36\frac{1}{4} - 32\frac{1}{2}

Difference = \frac{145}{4} - \frac{65}{2}

Difference = \frac{145 - 130}{4}

Difference = \frac{15}{4}

Difference = 3\frac{3}{4}

Hence:

It weighs more by 3\frac{3}{4} ounces

8 0
3 years ago
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