- Find the surface area when r is 8 inches and h is 8 inches.
A. 160π in²
B. 154π in²
C. 288π in²
D. 256π in² ☑
We are given –
⇢Radius of cylinder , r = 8 inches
⇢ Height of cylinder, h = 8 inches.
We are asked to find surface area of the given cylinder.
Formula to find the surface cylinder given by –
Now, Substitute given values –
- Henceforth,Option D is the correct answer.
Answer:
Step-by-step explanation:
1) The center lies on the vertical line x = -5 and the the circle is tangent to (touches in one place only) the y-axis. Thus, the radius is 5.
2) Starting with (x - h)^2 + (y - k)^2 = r^2 and comparing this to the given
(x - 4)^2 + (y + 3)^2 = 6^2
we see that h = 4, k = -3 and r = 6. The center is at (4, -3) and the radius is 6.
3) Notice that A and B have the same x-coordinate, x = 15. The center of the circle is thus (15, -2), where that -2 is the halfway point between the two given points in the vertical direction. Arbitrarily choose A(15, 4) as one point on the circle. Then the equation of this circle is
(x - 4)^2 + (y + 3)^2 = r^2 = 6^2, where the 6 is one half of the vertical distance between A(15, 4) and B(15, -8) (which is 12).
<h2>
Answer:</h2>
<u>x= 90°</u>.
<h2>
Step-by-step explanation:</h2>
<h3>1. Write the expression.</h3>
<h3>2. Subtract "4" from both sides of the equation.</h3>
<h3>3. Add "8sin(x)" to both sides of the equation.</h3>
<h3>4. Divide both sides by 10.</h3>
<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>
<h3>6. Conclude.</h3>
<u>x= 90°</u>.
