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: 2.077x10^-4
Step-by-step explanation:
The solution to given system of equations is (x, y) = (2, -1)
<em><u>Solution:</u></em>
Given system of equations are:
-1x + 2y = -4 -------- eqn 1
4x + 3y = 5 ------- eqn 2
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 4</u></em>
4(-1x + 2y = -4)
-4x + 8y = -16 ------ eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4x + 3y = 5
-4x + 8y = -16
( + ) --------------------
0x + 11y = -16 + 5
11y = -11
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-1x + 2(-1) = -4
-x -2 = -4
-x = -4 + 2
-x = -2
x = 2
<em><u>Check the answer:</u></em>
Substitute x = 2 and y = -1 in eqn 2
4x + 3y = 5
4(2) + 3(-1) = 5
8 - 3 = 5
5 = 5
Thus the obtained answer is correct
Thus the solution to given system of equations is (x, y) = (2, -1)
Answer:
1/4
Step-by-step explanation:
15 out of the 20 books are horses. 5 of those are nature. 5/20 is the fraction, but can be simplified to 1/4