Answer:
1. 3,077.2 cm³
2. 1,808.6 ft³
3. 602.9 in.³
4. 230.8 yd³
5. 191.8 m³
6. 70.3 in.³
Step-by-step explanation:
Recall: Volume of cylinder = πr²h
1. r = 7 cm
h = 20 cm
π = 3.14
Volume = 3.14*7²*20 = 3,077.2 cm³
2. r = 8 ft
h = 9 ft
π = 3.14
Volume = 3.14*8²*9 ≈ 1,808.6 ft³
3. r = ½(8) = 4 in.
h = 12 in.
π = 3.14
Volume = 3.14*4²*12 ≈ 602.9 in.³
4. r = 3½ yd = 3.5 yd
h = 6 yd
π = 3.14
Volume = 3.14*3.5²*6 ≈ 230.8 yd³
5. r = ½(5.3) = 2.65 m
h = 8.7 m
π = 3.14
Volume = 3.14*2.65²*8.7 ≈ 191.8 m³
6. r = 1.9 in.
h = 6.2 in.
π = 3.14
Volume = 3.14*1.9²*6.2 ≈ 70.3 in.³
Find the length of the line from A to C, which would be the radius using the distance formula:
Distance = √(-5 +1)^2 + 1+2)^2)
Distance = √(4^2 + 3^2)
Distance = √25
Distance = 5
The equation of a circle is written as (x-h)^2 + (y-k)^2 = r^2, where h and k is the center point X and y values and r is the radius.
The center of the circle is located at A ( -1,-2) and the radius is 5.
Replace h, k and r with those values:
(x - (-1))^2 + (y- (-2))^2 = 5^2
Simplify to get:
(x+1)^2 + (y+2)^2 = 25
If the average of the two integers is x, the product of the two integers is
(x-1)(x+1) = 440
x² - 1 = 440
x² = 441 = 21²
21 is the odd integer between the two even integers you seek.
The integers are 20 and 22.
Answer: 15t
Step-by-step explanation: 6t and 9t are like terms, meaning that you can combine them to get 15t.
The unit of ratio is expressed as none. Ratio comprises of similar type of quantities so the units cancel out each other and thus there is no unit for a ratio. There is no unit for ratio. The numbers in the ratio will be of same unit - the unit can be meter or gram or litre or any such unit.
