It will be a J-shaped graph. As X increases, Y will increase at a sharper rate, so it will look exactly like a J when graphed
Answer:
32.5cm
Step-by-step explanation:
Using the formula A=h_b*b/2
We get 5*13/2=32.5
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
Hey user!!!
given the radius of the cylindrical mold is 2 inches and height is 3 inches.
volume of the cylindrical mold = πr²h
= 3.14 × 2 × 2 × 3
= 37.68 in³
radius of the spherical mold is given = 2 inches
volume of the spherical mold = 4/3πr³
= 4/3 × 3.14 × 2 × 2 × 2
= 100.48/3 in³
difference between the amount of wax needed = 37.68/1 - 100.48/3
= ( 113.04 - 100.48 ) / 3
= 12.56/3
= 4.186...
so approximately 4.19 in³
hence, correct option is 4.19 in³
cheers!!!
Note that there's a strict order here -> 2 close friends, then 1 non-close friend.
So, picking in order:
probability of picking the first close friend: 4/10
probability of picking the second close friend: 3/9
probability of picking the first non-close friend: 6/8
So, we get 4/10 * 3/9 * 6/8 = 1/10.