All categories

2 years ago

Find the slant height for a right circular cone with a radius of 3 and a height of 5.

Mathematics

2 answers:

babymother [125]2 years ago

5 0

Answer: l = $\sqrt{34}$

Step-by-step explanation:

The slant height of a cone is given by

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

h= 5

r = 3

Therefore :

l = $\sqrt{5^{2}+3^{2} }$

l= $\sqrt{25+9}$

l = $\sqrt{34}$

jok3333 [9.3K]2 years ago

5 0

Answer:

The slant height is √34

Step-by-step explanation:

This problem bothers on mensuration of shapes, in particular the cone

We can solve for the slant height of a cone using Pythagoras theorem

N/B kindly see attached for your reference

Assuming all units in cm

Given data

Say that the slant height is x

Radius r= 3cm

Height h= 5cm

Applying Pythagoras theorem we have

x²=h²+r²

x=√h²+r²

Substituting our data into the expression we have

x=√5²+3²

x=√25+9

x=√34

The slant height is x=√34

You might be interested in

What is the center of a circle?<br> What is the radius of the circle?

lutik1710 [3]

Answer:

Center: (-9, -7)

Radius: 5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

How do you write in slope intercept with only the rate of change and one point. Like rate of change is -5 and the point is (3,0)

Simora [160]

Answer:

A linear equation in the slope-intercept form is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Now, we know that the rate of change (the slope) is -5

Then we just replace a by -5

y = -5*x + b

Now we also know that this line passes through a point, and the point is (3, 0)

This means that the point (3, 0) is a solution for the line equation, so when x = 3, we also have y = 0.

Replacing these values in our equation we get:

0 = -5*3 + b

0 = -15 + b

15 = b

Now we know the value of b, so we can replace it in the line equation to get:

y = -5*a + 15

Which is the complete equation of the line.

5 0

2 years ago

At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 1

sergij07 [2.7K]

Answer:

The temperature needs to decrease by 7°F to return to the original temperature.

Step-by-step explanation:

The temperature starts at 33 degrees then increases by 10 then 12 then decreases by 15 which will equal 40.

33 + 10 = 43

43 + 12 = 55

55 - 15 = 40

40 - 33 = 7

The temperature needs to decrease by 7 degrees.

5 0

2 years ago

Draw and label an example of two parallel lines that are perpendicular to a third line.

lara31 [8.8K]

Euclid used a somewhat different parallel postulate in trying to avoid the notion of the infinite. He observed that when two parallel lines are intersected by a third line, called a transversal, then if you measure two angles formed by these three lines, on the same side of the transversal and between the parallels, they will add to (that is, they will be supplementary). Such angles are called same-side interior angles<span>:</span>

7 0

2 years ago

SECTION C

ki77a [65]

Sus hahah shshsh dish

7 0

2 years ago