<u>Given</u>:
Given that the radius of the cone is 3 units.
The volume of the cone is 57 cubic units.
We need to determine the height of the cone.
<u>Height of the cone:</u>
The height of the cone can be determined using the formula,

Substituting the values, r = 3 and V = 57, we get;

Simplifying the terms, we get;

Multiplying both sides of the equation by 3, we get;


Dividing both sides of the equation by 28.26, we get;

Thus, the height of the cone is 6.05 units.
Answer:
67/500
Step-by-step explanation:
we have
The decimal number 0.134
Convert to a fraction number
Multiply by (1,000/1,000) the number
0.134*(1,000/1,000)=134/1,000
Simplify
Divide by 2 both numerator and denominator
67/500
The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80).
Note that the number of defectives in the inventory is fixed, i.e., we are not told that there
is 1
8 probability that a modem in the inventory is defective, but rather that exactly 1
8
of
all modems are defective. The probability that exactly two modems in a random sample
of five are defective is = 0.102
diameter of human hair is around 0.0025cm
in scientific notation it is: 2.5x10^-3