Answer:
Step-by-step explanation:
The total surface area of the sphere = 2πr²
Total surface area of the cylinder = 2πr²+2πrh
Total surface area of the solid = 4πr²+2πrh
r is the radius of the sphere and the cylinder
h is the height of the cylinder
Total surface area of the solid = 2πr(r+h)
If the total height of the solid is 18 cm, then r+h = 18cm
Given the Total surface area of the solid = 205π cm
205π = 2πr(r+h)
205π = 2πr(18)
205π = 36πr
205 = 36r
Divide both sides by 36
205/36 = 36r/36
r = 5.69cm
Since r+h = 18cm
5.69+h = 18
h = 18-5.69
h = 12.31cm
Step-by-step explanation:
1 * (-5) = -5 a = -5
6 + (-5) = 1 b = 1
1 * (-5 ) = -5 c = -5
-7 + -5 = -12 d = -12
Answer:
x = 20
Step-by-step explanation:
Since ΔACB ≅ ΔDCE then ∠A ≅ ∠D, that is
3x - 10 = 2x + 10 ( subtract 2x from both sides )
x - 10 = 10 ( add 10 to both sides )
x = 20
Area = 1/2 x B x H
1/2 x 28.3 x 12.8 = 181.12
Answer is #3
Answer:
$5.625
Step-by-step explanation:
Cost per pound of beef = $1.25 per pound
Number of pounds purchased = 3.5 pounds
Amount given to cashier = $10.00
Amount of change to receive from cashier =?
Amount issued to cashier - total cost of beef
Total cost of beef = (number of pounds * cost per pound)
Total cost of beef = (3.5 * 1.25) = $4.375
$10 - $4.375 = $5.625
