Answer:
b b.b b b b b b b b b b b b b b b b b b
Step-by-step explanation:
b b b
4398.22 cm³ the volume of cylinder.
What is volume of cylinder?
- 'Volume' is a mathematical quantity that shows the amount of three-dimensional space occupied by an object or a closed surface.
- The unit of volume is in cubic units such as m3, cm3, in3 etc.
Given,
Height of cylinder = 14 cm
radius of cylinder = 10 cm
Now using formula volume of the cylinder = π r² h
put value in formula,
3.14 × 10× 10 × 14 = 4398.22 cm³
Therefore, 4398.22 cm³ the volume of cylinder.
Learn more about volume brainly.com/question/12877039
#SPJ4
∫(t = 2 to 3) t^3 dt
= (1/4)t^4 {for t = 2 to 3}
= 65/4.
----
∫(t = 2 to 3) t √(t - 2) dt
= ∫(u = 0 to 1) (u + 2) √u du, letting u = t - 2
= ∫(u = 0 to 1) (u^(3/2) + 2u^(1/2)) du
= [(2/5) u^(5/2) + (4/3) u^(3/2)] {for u = 0 to 1}
= 26/15.
----
For the k-entry, use integration by parts with
u = t, dv = sin(πt) dt
du = 1 dt, v = (-1/π) cos(πt).
So, ∫(t = 2 to 3) t sin(πt) dt
= (-1/π) t cos(πt) {for t = 2 to 3} - ∫(t = 2 to 3) (-1/π) cos(πt) dt
= (-1/π) (3 * -1 - 2 * 1) + [(1/π^2) sin(πt) {for t = 2 to 3}]
= 5/π + 0
= 5/π.
Therefore,
∫(t = 2 to 3) <t^3, t√(t - 2), t sin(πt)> dt = <65/4, 26/15, 5/π>.
Answer:
50%
Step-by-step explanation:
To find the percent increase, divide the increase by the original value.
The increase is $40.
The original value is $80.
40÷80 = 0.5
0.5 ⇒ 50%
It is a 50% increase.
