Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z------> the scale factor
x-----> the volume of the larger cone
y-----> the volume of the original cone
In this problem we have
-----> scale factor
substitute
That means-----> The volume of the larger cone is 8 times the volume of the original cone
Find the volume of the original cone
we have
substitute
therefore
The volume of the larger cone is equal to
Volume of a cone can be found using the equation 1/3 π r² h (or π r² h / 3)
17.6 is the diameter so divide that by 2 to get the radius which is 8.8
(1/3)π(8.8²)(23.4) = (1/3)π(77.44)(23.4) = (1/3)π(1812.096) = (604.032)π
if you need a more specific answer and pi can equal 3.14 then it equals 1896.66048
Answer:
the point (0,6) is the point that is 1/6 of the way
Answers and Step-by-step explanations:
9-18.
a) All the angles of a triangle add up to 180, by definition. So, we can write the expression: 30 + 115 + x = 180.
Then, we can just solve for x by subtracting 30 and 115 from both sides:
x = 180 - 115 - 30 = 35 degrees
b) Again all three angles should add up to 180, so:
x + x + x = 180 ⇒ 3x = 180 ⇒ x = 180/3 = 60 degrees
9-19.
a) These angles add up to 180:
2x + x + 30 = 180 ⇒ 3x + 30 = 180 ⇒ 3x = 150 ⇒ x = 50
2x = 50 * 2 = 100
The missing angles are 100 degrees and 50 degrees.
b) Again, these add up to 180:
x + 10 + x + 90 = 180 ⇒ 2x + 100 = 180 ⇒ 2x = 80 ⇒ x = 40
x + 10 = 40 + 10 = 50
The missing angles are 50 degrees and 40 degrees.
Hope this helps!
