Answer: The correct answer is Volume Cone = one-third pi t squared k
Step-by-step explanation: The first important detail to note here is that both cylinder and cone have the same base and the same height This implies that when writing out the formula for calculating the volume of either of the two shapes, the radius and the height will be the same number or value.
The volume of a cylinder is given as;
Volume cylinder = pi x r squared x h (that is πr²h)
Also the volume of a cone is given as;
Volume cone = one-third x pi x r squared x h (that is 1/3*πr²h)
However, the variables have been changed such that the radius r is now represented by t while the height h is now represented by k.
Therefore the volume of the cone should now be re-written as;
Volume cone = one-third pi t squared k <em>(that is 1/3 *πt²k)</em>
The answer is a and remember to use the pythagorean theorem to answer these questions. The numbers are usually listed leg, leg, hypotenuse.
Answer:
Option b is correct.
The series 20-15+10-5....is Divergent
Step-by-step explanation:
Alternating series Test:
satisfies:
for all n
Then the series converges,
otherwise diverges.
Given the series: 20-15+10-5....
This is a alternating series:
using the alternating series test;
for all n
⇒ the series diverges.
therefore, the given series i,e 20-15+10-5.... is divergent.
Answer:
Step-by-step explanation:
(-1 + 5)/(4 + 2) = 4/6= 2/3
y + 5 = 2/3(x + 2)
y + 5 = 2/3x + 4/3
y + 15/3 = 2/3x + 4/3
y = 2/3x - 11/3
