Answer:
Height is 21cm
Step-by-step explanation:
Volume of the cylinder = 1029pi
Base area = 7x7xpi = 49pi
Therefor the height = 1029pi/49pi=1029/49 = 21cm
Answer:
the value of the series;

C) 59
Step-by-step explanation:
Recall that;

Therefore, we can evaluate the series;

by summing the values of the series within that interval.
the values of the series are evaluated by substituting the corresponding values of k into the equation.

So, the value of the series;

Answer:
a=13 b=13
Step-by-step explanation:
Because the triangles are congruent, their corresponding angles will be congruent, too.
So, ∠Y≅∠S and ∠Z≅∠T.
Set the values of these angles equal to each other and solve.
∠Y≅∠S ∠Z≅∠T
4a-4= 48 5b-3= 62
4a=52 5b= 65
a=13 b= 13