All categories

4 years ago

Which of the following formulas would find the lateral area of a right cone where r is the radius and s is slant height?

Mathematics

2 answers:

matrenka [14]4 years ago

8 0

For a right circular cone, the lateral surface area is given by,

$L.S.A. =\pi r\sqrt{h^{2}+r^{2}}$

The value of square root of h²+r² is equal to slant height s.

So replacing the value of square root of (h²+r²) by s in the formula for lateral surface area , we have

L.S.A. = pi * r * s

where s is slant height of the given right cone.

Answer: The lateral surface area of a right cone is pi*r*s.

Option C is the correct answer.

grin007 [14]4 years ago

7 0

The answer is C: LA=pi rs

You might be interested in

What is the equation of the line that is perpendicular to the given line and passes through the point (5, 3) ?

Lisa [10]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the figure, the line goes through the following points:

$(x_ {1}, y_ {1}) :( 8, -10)\\(x_ {2}, y_ {2}): (- 8,10)$

We found the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {10 - (- 10)} {- 8-8} = \frac {10 + 10 } {- 16} = \frac {20} {- 16} = - \frac {5} {4}$

By definition, if two lines are perpendicular then the product of their slopes is -1:

$m * - \frac {5} {4} = - 1\\m = \frac {-1} {- \frac {5} {4}}\\m = \frac {4} {5}$

Thus, the equation is of the form:

$y = \frac {4} {5} x + b$

If the line goes through $(x, y) :( 5,3)$ we have:

$3 = \frac {4} {5} (5) + b\\3 = 4 + b\\3-4 = b\\-1 = b$

Finally, the equation is:

$y = \frac {4} {5} x-1$

Algebraically manipulating we have:

$y + 1 = \frac {4} {5} x\\5y + 5 = 4x\\4x-5y = 5$

Answer:

Option A

6 0

4 years ago

William says that 15 years from now, his age will be 3 times his age 5 years ago. if x represents William's present age, what eq

myrzilka [38]

Answer:

x + 15 = 3 (x - 5)

William’s current age: 15. Years old

Step-by-step explanation:

x + 15 = 3(x-5)

x + 15 = 3x - 15

15 + 15 = 3x - x

30 = 2x

x = 15

8 0

3 years ago

If you cant see it im srry. i rlly need help on this ill mark you plzzz

alex41 [277]

Answer:

Yeah I can’t see nothing can u please zoom in I will answer it

Step-by-step explanation:

7 0

3 years ago

The 7th grade teachers are planning the end of year field trip. The cost to pay for a bus has

ra1l [238]

Answer:

340 students.

Step-by-step explanation:

1) 1900-200=1700

2) 1700/5=340

5 0

3 years ago

Simple solutions grade 7 answer key

Anuta_ua [19.1K]

Answer:

huh

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers