Answer:
Volume of smaller cone =301.44
Step-by-step explanation:
First let angle of cone be
.
then 
= 3/5 (For bigger triangle)
Same cone angle is for smaller one because they are similar.
= 4/5
Now for smaller cone radius be R
3/5 =R/Slant height
Slant height =5/3R
Lateral surface area =
[R = slant height]
Given lateral surface area =60
=
...................................1
................................................2
Put angle beta in equation 1 and find the value of R
R =6 cm
Height =
Thus volume =
=301.44
It is called a consistent dependent system
Answer:
16
Step-by-step explanation:
let the number be x , then
x = 15 ( multiply both sides by 4 to clear the fraction )
3x = 60 ( divide both sides by 3 )
x = 20 , then
× 20 = 4 × 4 = 16
Answer:
first get the total ratio; 2 + 5 = 7
so the fraction of blue marbles is 5/7
then assume the number of total marbles to be k
then use the expression;
5/7*k = 65
7*5/7 * k = 65*7
5k =455
5/5k = 455/5
k = 91
then calculate the number if red marbles from;
x = 2/7*91
x = 26
Therefore there are 26 red marbles.
I'm going to need more information before I can answer.
