Answer:
radius r = 3 cm
height h = 10 cm
volume V = 282.743339 cm^3
lateral surface area L = 188.495559 cm^2
top surface area T = 28.2743339 cm^2
base surface area B = 28.2743339 cm^2
total surface area A = 245.044227 cm^2
In Terms of Pi π
volume V = 90 π cm3
lateral surface area L = 60 π cm^2
top surface area T = 9 π cm^2
base surface area B = 9 π cm^2
total surface area A = 78 π cm^2
Step-by-step explanation:
Cylinder Formulas in terms of r and h:
Calculate volume of a cylinder:
V = πr2h
Calculate the lateral surface area of a cylinder (just the curved outside)**:
L = 2πrh
Calculate the top and bottom surface area of a cylinder (2 circles):
T = B = πr2
Total surface area of a closed cylinder is:
A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)
Agenda: r = radius
h = height
V = volume
L = lateral surface area
T = top surface area
B = base surface area
A = total surface area
π = pi = 3.1415926535898
√ = square root
Answer:
5
Step-by-step explanation:
There are 3 feet in a yard, so 420 feet is 420/3 = 140 yards.
The total number of yards Edith needs is ...
65 yd + 580 yd = 645 yd
So, the total number of balls of yarn Edith needs is ...
(645 yd)/(140 yd/ball) ≈ 4.61 balls
Edith needs to buy 5 balls of yarn to make her projects.
Answer:
a = 0,-1
Step-by-step explanation:
a^2 + a=0
Factor out an a
a(a+1) =0
Using the zero product property
a=0 a+1 =0
a=0 a= -1
Answer:
1.17 units
Step-by-step explanation:
From the definition of the sine of an angle, you know ...
sin(45°) = AC/AB = 4/AB ⇒ AB = 4/sin(45°) ≈ 5.6569
sin(63°) = AC/AD = 4/AD ⇒ AD = 4/sin(63°) ≈ 4.4893
Then the difference AB-AD is ...
AB -AD = 5.6569 -4.4893 = 1.1676
AB -AD ≈ 1.17 units
