Answer:
Surface area = 663π in².
Volume = (676/3)π in² ≈ 225.33 π in²
Explanation:
1) We know the radius and the lateral area.
2) With the radius you can find the areas of the top and the bottom.
For that, you use the formula:
area of the top = area of the bottom = π r²
∴ π (13 in)² = 169π in² (each)
3) Then, the surface area is the sum of the lateral area and the two bases (top and bottom)
surface area = lateral area + bottom area + top area = 325π in² + 2×169π in² = 663π in².
3) You can also find the height of the cylinder.
Use the formula: lateral area = 2π r h
∴ h = lateral area / [2 π r]
⇒ h = 325 π / [ 2π (13) ] = 12.5 in
4) With the height you can find the volume.
Use the formula: V = (4/3) π r³
∴ V = (4/3) π (13 in)³ = (676/3)π in² ≈ 225.33 π in²
Answer:
A
Step-by-step explanation:
By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.
Multiply the original price by the percent of markup: 47x.045=2.115. Round: 2.115=2.12. Add original price and amount of markup: 47+2.12=49.12. Answer: $49.12 :)
??? what do u mean
like numbers in the thousands place is 3
Given:
The figure of a right triangle.
and perpendicular = 12.
To find:
The measure of angle y.
Solution:
In a right angle triangle,
![\sin\theta=\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%5Ctheta%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
In the given right angle triangle,
![\sin y^\circ=\dfrac{7}{12}](https://tex.z-dn.net/?f=%5Csin%20y%5E%5Ccirc%3D%5Cdfrac%7B7%7D%7B12%7D)
![y^\circ=\sin ^{-1}\dfrac{7}{12}](https://tex.z-dn.net/?f=y%5E%5Ccirc%3D%5Csin%20%5E%7B-1%7D%5Cdfrac%7B7%7D%7B12%7D)
![y^\circ=35.685335^\circ](https://tex.z-dn.net/?f=y%5E%5Ccirc%3D35.685335%5E%5Ccirc)
![y^\circ\approx 35.69^\circ](https://tex.z-dn.net/?f=y%5E%5Ccirc%5Capprox%2035.69%5E%5Ccirc)
Therefore, the measure of angle y is
.