Answer:
Step-by-step explanation:
Let h be the cylinders height and r the radius.
-The volume of a cylinder is calculated as:
-Since the cone is within the cylinder, it has the same radius as the cylinder.
-Let be the height of the cone.
-The area of a cone is calculated as;
The volume of the solid section of the cylinder is calculated by subtracting the cone's volume from the cylinders:
Hence, the approximate area of the solid portion is
Answer:
The ratio of the length of DE and the length of BC = 1/4
Step-by-step explanation:
From the figure we can see two sectors
<u>To find the length of BC</u>
The sector ABC with radius r and central angle 2β
BC = (2πr)( 2β/360)
= 4πrβ/360
<u>To find the length of DE</u>
The sector ADE with radius r/2 and central angle β
DE = (2πr/2)( β/360)
= πrβ/360
<u>To find the ratio of DE to BC</u>
DE/BC =πrβ/360 ÷ 4πrβ/360
= πrβ/360 * 360/ 4πrβ
=1/4
Answer:
C
Step-by-step explanation:
because it has a point at -3
Answer:
for the first one I got y=-2x-2 the second part i got y=-x-1 or -1x-y-1=0 Correct me if I am wrong
Step-by-step explanation:
Use the slope formula
-4-4 =-8
/ =-2
1 - -3=4
2. The second part use this formula y-y1=m(x-x1)
y--4=-1(x-3)
y+4=-x+3
-4 -4
y+0=-x-1
y=-x-1 or -1x-y-1=0 I am not sure
Answer:
mean=134.3
median=65.5
mode=60
Step-by-step explanation:
Mean is computing by adding the all data values and then divided by number of values
mean=sum of all values/number of values
There are 20 data values.
mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20
mean=2686/20
mean=134.3
For calculating median we arrange the data in ascending order
41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500
n/2=20/2=10 is an integer
So, the median is the average of n/2 and (n/2)+1 value
The median is average of 10th and 11th value
median=(65+66)/2
median=65.5
Mode is the most repeated value and we see that number of times the values are repeated are
45= 2 times
50= 2 times
60= 3 times
Thus, the most repeated value is 60 and it is the mode of data.
Mode=60