Answer:
Start with the formulas for the volumes of the sphere and cyl. respectively:
Vs = (4/3)*pi*r^3 Vc = pi*r^2*h
Here, sphere and cyl. have the same radius and height. Thus, the diam. of the sphere, d = 2r, has the same value as does h.
Thus, Vs = (4/3)*pi*r^3 and Vc = pi*r^2*(2r) = 50. Thus, pi*r^3 = 50, or
r^3 = 50/pi
Then Vs = (4/3)(pi)*(50/pi) = 200/3 ft^3
Unfortunately, this doesn't agree with any of the answer choices, 'though it's close to given choice 100/3 ft^3, off by a factor of 2.
The trick here is to eliminate variables (especially the cyl. ht., h) and to make appropriate substitutions.
Step-by-step explanation:
I believe the answer will be 60 degrees since a equilateral triangle equals 180 degrees. so all the angles of the triangle should be 6p degrees.
Answer:
The probability that she chooses 3 spades and 2 cards that are not spades is
0.08154
Step-by-step explanation:
52 deck cards have 13 spades , 13 clubs , 13 diamond, 13 hearts
spades = 13
Non spades = 39
Selecting 3 spades = 13C3 (Using combination)
selecting 2 spades = 39C2
in total 5 cards are drawn = 52C5
Probability of drawing 5 cards (3spades+2 non spades)
=
= 0.08154
Step-by-step explanation:
115 divided by 12
27 divided by 12
then add both of them there is your answer
56.52 ÷ pi(3.14) = 18
18 ÷ 2 =9
A = pi(3.14)r^2
A = 3.14 × 9^2
A = 3.14 × 81
A = 254.34in^2
