Answer: 135cm
Step-by-step explanation
Volume of a cylinder = πr²h
Volume of a cone. = 1/3πr²h
The two shapes are both solid shapes.
Since the have same volume, we can then equate the two together and solve for the height of the cone.
Now make H the height and R the radius of the cylinder and h the height and r the radius of the cylinder.
Now equating the two
πR²H = 1/3πr²h
Now substitute for the values now
Multiply through by 3
3πR²H = πr²h
But π is common so it could be obliterated from the equation
3R²H = r²h
3 x 12² x 20 = 8² x h
3 x 144 x 20 = 64 x h
60 x 144 = 64h
8640. = 64h
Therefore
h = 8640/64
= 135cm
Answer: 3/20 of the class
Step-by-step explanation:
Add the amount of students that play soccer to amount of students that play volleyball
1/4 + 3/5 = 17/20
Subtract 17/20 (soccer and volley ball) from 20/20 or 1
20/20 - 17/20 = 3/20
Answer:
Supplementary angles are two angles whose measures add up to 180 degrees. ... Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are ... If the measure of the angle is twice the measure of the other, find the measure of each angle.
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have to group all of the same one's together and however many there is, you add that number as the exponent.
There were 2 "(-2)" so that became
, and there were 5 "7" so that became
. You keep the symbol and put it together which became 
Hello from MrBillDoesMath!
Answer:
-9 sqrt(5)
Discussion:
-2 sqrt(20) - sqrt(125) =
-2 *2 sqrt(5) - sqrt(125)= as 20 = 4* 5
-4sqrt(5)- 5 sqrt(5) = as 125 = 25 *5
(-4 -5) sqrt(5) =
-9 sqrt(5)
Thank you,
MrB