Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:

where r is the radius but L is the slant height.
As you can see in the figure attached:

But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):

Substitute into the formula, then:
units²
On the number line below, there are arrows pointing to the left and to the right. The arrow that is pointing to the left has numbers below them; those numbers are negative numbers, including -2. 0 is mutual, meaning that it is a positive and a negative number. The numbers to the right are positive numbers. Positive numbers are greater than negative numbers, therefore, any number after 0 is greater that is greater than -2.
Answer:
Test statistic = 2.8965
Step-by-step explanation:
The test statistic is given by the formula
z = (x - μ)/σₓ
μ = mean = 0.799
x = proportion of literate people in Tamil Nadu = (983/1185) = 0.8295
σₓ = standard error of this calculated proportion = √[p(1-p)/n]
= √(0.8295 × 0.1705/1185) = 0.01093
z = (x - μ)/σₓ
z = (0.8295 - 0.799)/0.01093 = 2.8965
z = 2.8965
Hope this Helps!!!
Using the information from the question, one can construct two equations:

... (1)

... (2)
by substituting (1) into (2) to find x


\frac{5}{4z} = \frac{1}{4}



⇒ z = 5
By substituting value of z into (1)
⇒ 4 (5) = x
⇒ x = 20
Thus the two numbers are 5 & 20