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
Answer:
5 or 3
Step-by-step explanation:
4 could be considered a common factor
0.8w + 3.6 =
4(0.2w + 0.9)
or you could call 0.4 the common factor
=0.4(2w+9)
= (2/5)(2w+9), if you want to eliminate decimals. 0.4=4/10=2/5
Answer:
254.47
Step-by-step explanation:
A=πr2=π·92≈254.469
To solve this you first need to turn your mixed numbers into improper fractions. to do this for 
you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction 
.
You repeat this process with 
to get 
.
Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so 
Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.
Now, to simplify 
you first divide both the numerator and denominator by 7 to get 
.
Finally, you can take 10 out of the numerator to make 
