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
Answer:
3 gallons of orange juice
Answer:
in right angled triangle ABC
by using Pythagoras law
h²=p²+b²
x²=7²+10²
x=√149=12.21cm
Answer:
15 feet
Step-by-step explanation:
This problem involves using the Pythagorean theorem, since the figure made with the ladder, building, and ground would make a right triangle. You are given the values 17ft and 8ft, which is enough to plug into the Pythagorean theorem.
The ladder, 17ft, would be the longest side (hypotenuse). The 8ft building would be one of the legs of the right triangle.
1. Plug your given values correctly into the Pythagorean Theorem.
2. Now solve for b, which is your unknown distance (the distance the bottom of the ladder is from the bottom of the building).
--> Square 8 and 17
--> Subtract 64 from both sides
--> Square root both sides to get b by itself
b = 15
3. The distance is 15 feet
*Note: to make solving this problem easier, try drawing out the given situation, namely the building and the ladder
Complementary angles, sum = 90
So 3y - 4 + 73 = 90
3y + 69 = 90
3y = 21
y = 7
Answer
y = 7
