Answer:
3.14
Step-by-step explanation:
d=2
A= pi*r^2 = pi*(d/2)^2 = pi*(2/2)^2= pi*1 =pi =3.14
Answer:
Equation: x + (x+ 1) = 67
Step-by-step explanation:
We want to find two consecutive integers.
Let them be labeled as x and x + 1
We want x + (x + 1) = 67
x is the smaller number
x + 1 is the largest
We can solve for x.
x + (x + 1) = 2x + 1 = 67
2x = 66
x = 33
The largest integer is 34
Answer:
3(a + 5b + 7c) and 2x(2 + 5y + 11z)
Step-by-step explanation:
3a + 15b + 21c
3(a + 5b + 7c)
4x + 10xy + 22xz
2x(2 + 5y + 11z)
The volume of a cone by definition is given by:
V = (pi * r ^ 2 * h) / (3)
Where,
r: radio
h: height
Clearing the height of the original cone we have:
h = (3 * V) / (pi * r ^ 2)
Substituting values:
h = (3 * 1875) / (pi * (40) ^ 2)
h = 1.119058194
We now look for the scale factor:
K = 16/40
Simplifying:
K = 4/10
K = 2/5
We apply the scale factor to the new volume:
V '= ((k ^ 3) * (pi * r ^ 2 * h)) / (3)
Substituting:
V '= (((2/5) ^ 3) * (pi * (16) ^ 2 * (1.119058194))) / (3)
V '= 19.2 cm ^ 3
Answer:
the volume of a similar cone with a radius of 16 cm is:
V '= 19.2 cm ^ 3
Answer: 3504
Step-by-step explanation: you have to multiply 713 by 48