Arvud 0, 1, 2, 3, ....

The surface area of a given cone is 1,885.7143 square inches. What is the slang height?

kap26 [50]

Answer:

If $r >> h$ , the slang height of the cone is approximately 23.521 inches.

Step-by-step explanation:

The surface area of a cone (A) is given by this formula:

$A = \pi \cdot r^{2} + 2\pi\cdot s$

Where:

$r$ - Base radius of the cone, measured in inches.

$s$ - Slant height, measured in inches.

In addition, the slant height is calculated by means of the Pythagorean Theorem:

$s = \sqrt{r^{2}+h^{2}}$

Where $h$ is the altitude of the cone, measured in inches. If $r >> h$ , then:

$s \approx r$

And:

$A = \pi\cdot r^{2} +2\pi\cdot r$

Given that $A = 1885.7143\,in^{2}$ , the following second-order polynomial is obtained:

$\pi \cdot r^{2} + 2\pi \cdot r -1885.7143\,in^{2} = 0$

Roots can be found by the Quadratic Formula:

$r_{1,2} = \frac{-2\pi \pm \sqrt{4\pi^{2}-4\pi\cdot (-1885.7143)}}{2\pi}$

$r_{1,2} \approx -1\,in \pm 24.521\,in$

$r_{1} \approx 23.521\,in \,\wedge\,r_{2}\approx -25.521\,in$

As radius is a positive unit, the first root is the only solution that is physically reasonable. Hence, the slang height of the cone is approximately 23.521 inches.

3 0

2 years ago

1. Kaly can select from 5 types of candies and 4 types of chocolates . If she randomly selects 1 chocolate and 1 candy, how many

kykrilka [37]

Answer:

20..... 1/10

Step-by-step explanation:4x5 equals twenty

2/20 divided by 2 is 1/10

7 0

3 years ago

Will bought 3 college textbooks. One cost $32, one cost $45, and one cost $39. What is the average price of his books? Choose th

ch4aika [34]

I think the correct answer among the choices presented above is option B. Average is the sum of all the data divided the number of data added. From the statement, we have 3 prices to be added and divided by 3. Therefore, the average is calculated as

<span>($32 + $45 + $39) ÷ 3</span>

7 0

3 years ago

A bakery had buns. Of the buns that bakery had, 1/6 were sold in the morning and 1/2 were sold in the evening.

Kazeer [188]

4/6 or 2/3 were sold total

8 0

2 years ago

Ryan is moving, and he is packing a box with plates and bowls. The box can only hold 12 pounds. Each plate weighs 1.2 pounds, an

erastova [34]

Answer:

A

Step-by-step explanation:

8 0

2 years ago

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