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Troyanec [42]
3 years ago
11

The volume of a cylinder is 252π cm3 and its height is 7 cm. What is the cylinder’s radius? A. 36 B. 80 C.16 D.6

Mathematics
1 answer:
REY [17]3 years ago
5 0
Put the given information into the formula and solve for the variable of interest.
.. V = π*r^2*h
.. 252π = π*r^2*7
.. (252π)/(7π) = r^2
.. 36 = r^2
.. 6 = r

The radius is 6 cm. Selection D is appropriate.

_____
We would prefer that the offered selections had the appropriate cm units attached.
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I don’t understand this
svet-max [94.6K]

The answer is 1/20. This is probability. <u><em>probability is the chance of you picking a certain thing</em></u>. for example: You have 3 blue marbles, 6 red marbles, and 4 purple marbles. the probability of pick a blue marble is 3/13. A red would be 6/13, and a purple would be 4/13.

So what this is asking is what are the chances that something will happen over something will not happen. the said that "the probability that an event will not happen is P(E') = 19/20. if you are having a lot of trouble with this, try removing the events with something like marbles (Something you have done before) this tends to make it a little easier to read.

5 0
3 years ago
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the
solong [7]

Answer:

<h2>a) f =  sin(yz)i + xzcos(yz)j + xycos(yz)k</h2><h2>b) -2</h2>

Step-by-step explanation:

Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;

fx, fy and fz are the differential of the functions with respect to x, y and z respectively.

a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k

The gradient of f =  sin(yz)i + xzcos(yz)j + xycos(yz)k

b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v

∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k

∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k

∇f(1, 2, 0) = 0i +0j + 2k

Given v = i + 4j − k

∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)

∇f(1, 2, 0)*v =  (0i +0j + 2k)*(i + 4j − k )

Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0

∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k

∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)

∇f(1, 2, 0)*v =0+0-2

∇f(1, 2, 0)*v= -2

 

Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2

7 0
3 years ago
A rectangle has an area of 226.1 square miles and a base of 13.3 miles. What is the height?
miskamm [114]

Answer:

The width (in our case it is the height) of the rectangle equals 17 miles

Step-by-step explanation:

In order to solve this, we need to know the following...

Area of a rectangle = Length x Width

(in our case based on what you said length is the base and width is the height)

Now we just change the formula to our needs and get that...

Width = Area of the rectangle / Length

And so we get...

Width = Area of the rectangle / Length

Width = 226.1 / 13.3

Width = 17 miles

3 0
3 years ago
Which number is divisibly by both 3 and 4?
STatiana [176]
The answer is c) 118,764
8 0
2 years ago
Read 2 more answers
How do you solve 5 3/7 ÷ 5/11
Artyom0805 [142]

Answer:

11 33/35

Step-by-step explanation:

5 3/7 = 5 × 7/7 + 3/7 = 35 + 37 = 38/7

38/7 ÷ 5/11 = 38/7 × 11/5 = 38 × 11/7 × 5 = 418/35

418/35 = 11 33/35

Hope this helps!  

6 0
3 years ago
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