Answer:
7)V=16257.74
8)V= 226.19
9)V=12.56
10)V=6283.18
11)r=6.631
12)h=69.05
13)V=35328.78
Step-by-step explanation:
Volume of cylinder is given by formula:
V=πr^2h
where r is radius and h is height of cylinder
7)
r=15
h=23
Putting values in formula:
V= π(15)^2(23)
=5175π
=16257.74
8)
diameter=6
r=d/2=3
height =?
Finding height by pythagoras theorem:
h^2= 10^2-6^2
=100-36
=64
h=8
Putting values in formula:
V=π(3)^2(8)
= 72π
= 226.19
9)
r= 2
h=1
Putting values in formula:
V=π(2)^2(1)
=4π
= 12.56
10)
diameter =20
r=d/2=10
h=20
Putting values in formula:
V=π(10)^2(20)
=2000π
=6283.18
Now finding the missing measures:
11)
Given V=210π
h = 15
r=?
Putting values in formula:
210π=π(r)^2(15)
r^2= 210π/15
=14π
r= 6.631
12)
V=197.82
r=3
h=?
Putting values in formula:
197.82=π(3)^2(h)
h= 197.82/9π
= 69.05
13)
r=21
h=25.5
Putting values in formula:
V= π(21)^2(25.5)
=11245.5π
=35328.78 !
Answer:
225
Step-by-step explanation:
Mary = 3x (3 times Carey)
Carey = x
Barry = x/2 (Because Carey read twice as many as Barry, it means he read half the amount Carey did)
3x + x + x/2 = 405
4x + x/2 = 405
8x/2 + x/2 (treat these as fractions) = 405
9x/2 = 405
9x = 810 (cross multiply)
x = 90
Mary = 3(90) 270
Carey = 90
Barry = 90/2 45
Mary - Barry
270 - 45 = 225
Hope this helps! :)
Answer: (A) 3/8
Step-by-step explanation:
3/4*1/2
3/4*2
= 3/8
Answer:
Number 1 is 12.
Step-by-step explanation:
{Solve by cross multiplication}
17 • x = 3 • (80 - x)
{Multiply 3 by distribution,}
17x = 240 - 3x
{Add 3x to both sides of the equation,}
20x = 240
{Divide through out by 20,}
20r/20 = 240/20
x = 12
Thus there were 12 pens :)
The angle is 162 degrees. Work shown in picture:)
