Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
Answer:
d ≈ 10.5
Step-by-step explanation:
The formula for the diagonal of a retangular prism (cuboid) is

1.) Plug in all the values for l, w, and h

2.) simplify by squaring the terms inside the square root
5 * 5 = 25
6 * 6 = 36
7 * 7 = 49

3.) Add the terms

4.) Simplify

5.) Round to one decimal place
d ≈ 10.5
Answer:
x=9
Step-by-step explanation:
y=3x+18=5x
thus 3x+18=5x
subtract 3x from both sides 18=2x
simplify for x x=9
-4 (5y + 5) = -120
multiply the bracket by -4
(-4)(5y)=-20y
(-4)(5)=-20
-20y-20=-120
move -20 to +20
-20y-20+20=-120+20
-20y=-120+20
-20y=-100
divide both sides by -20 to get y by itself
-20y/-20=-100/-20
Answer: y=5