The volume of the cone is 2880 m3.
The scale factor is 1/4.
The volume of the cone has the formula (1/3)π r² h.
A scale factor of 1/4 will reduce the dimensions by 1/4 which will result to a total volume reduction of (1/4)³ = 1/64
The new volume will be 45 m3
Answer:
A = 30 unit^2
Step-by-step explanation:
To find the area of the triangle
A = 1/2 b*h where b is the length of the base and h is the height
b = 12 and h =5
A = 1/2 (12*5)
A = 1/2 *60
A = 30 unit^2
Probabilities are used to determine the chances of an event
- The probability of choosing a black counter is 0.6
- The probability that both counters are white is 0.16
<h3>(a) Probability of selecting two blacks</h3>
The probability is given as:

Apply probability formula

Express as squares

Take the square root of both sides

Hence, the probability of choosing a black counter is 0.6
<h3>(b) Probability of selecting two white counters</h3>
In (a), we have:

Using the complement rule, we have:

So, we have:

Evaluate

The probability that both counters are white is then calculated as:

So, we have:


Hence, the probability that both counters are white is 0.16
Read more about probabilities at:
brainly.com/question/15858152
Answer:
8/81
Step-by-step explanation:
It's most efficient to simplify the quotient algebraically before inserting the values of the variables x and y.
The given expression reduces to x³ / y^4.
Substituting 2 for x and 3 for y, we get:
(2)³ 8
--------- = ---------- (Agrees with first given possible answer)
(3)^4 81