Answer:
The volume of the observatory is 497.43 
Step-by-step explanation:
i) The diameter of the floor is 10 feet. The floor is circular and has a radius,
r =
= 5 feet.
Therefore the area of the circular floor of the observatory
=
= 3.14159 ×
= 78.54 
ii) The observatory is made up of two parts
a) 3 foot tall cylinder
∴ volume of cylinder =
× h
= 78.54 × 3
= 235.62 
b) hemisphere =
×
= 0.6667 × 78.54 × 5 = 261.81 
c) Therefore the total volume of the observatory is = a) + b)
= 235.62 + 261.81 = 497.43 
Answer:
The probability that you would choose a green candy:
or approximately 32%.
Step-by-step explanation:
The general form of probability can be calculated as the following fraction:

First, to find the total number of outcomes, you need to add all of the candies together: 42 + 45 + 20 + 32 = 139, so there are 139 total outcomes. Since there are a total of 45 green candies, the probability of choosing green from the total can be written as:

Dividing the numerator by the denominator and multiplying by 100 gives us the percentage of approximately 32%.
To find a common denominator, you have to find a GCM ( greatest common multiple)
The right answer is “The classroom has 5,180 seats “