
So, Option C is correct.
Step-by-step explanation:
We need to find Volume of cone.
We are given:
π = 3.14
Length = 27 cm
Diameter = 15 cm
The formula used to find Volume of cone is:

We are given diameter but we need radius in the formula
So, Radius = Diameter/2 = 15/2 = 7.5 cm
We need to find height of cone.
Using Pythagoras theorem:

So, Height of cone = p= 25.93
So, r= 7.5 and h= 25.93 and π = 3.14
Putting values in the formula:


Rounding off to the nearest tenth:

So, Option C is correct.
Keywords: Volume of cone.
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Answer:
990
Step-by-step explanation:
The center position can be selected in 3 different ways, the other 4 players can be selected in combinations of 11 players (the center is already selected) taken 4 at a time.
By the Fundamental Principle of Counting, there are
ways for her to select the starting line-up.
Answer:
3) C) $792.50
4) D) $707.50
Step-by-step explanation:
3) Home price = $ 253,600
Mortgage rate = 3.75% APR
Therefore, monthly rate = 3.75% divide by 12
= 0.0375/12
= 0.003125
1st month interest = principle * 0.003125
= 253600*0.003125
=$792.50
3) Answer: $792.50
4) You paid $1500
The first monthly interest = $792.50
Principal paid in the first month = 1500 - 792.50
= $707.50
Answer: D) $707.50
Thank you.
Answer:
The weights of each cylinder and prism are 3 and 4 ounces, respectively.
Step-by-step explanation:
Let be
and
the masses of a cylinder and a prism, measured in ounces, respectively. After a careful reading of the statement we get the following linear equations by interpretation:
i) <em>She found that 4 cylinders and 5 prisms weigh 32 ounces:</em>
(Eq. 1)
ii) <em>And that 1 cylinder and 8 prisms weigh 35 ounces:</em>
(Eq. 2)
Now we solve the system of linear equations algebraically:
From (Eq. 2):

(Eq. 2) is (Eq. 1):





From (Eq. 2):



The weights of each cylinder and prism are 3 and 4 ounces, respectively.