Answer:
Step-by-step explanation:
Volume of the figure = Volume of cone + Volume of hemisphere
Cone:
height h = 33 m
Diameter = 30m
Radius r = 30/2 = 15 m
Volume of Cone:

Hemisphere:
Radius r = 15 m
Volume of Hemisphere =

Volume of the figure = 2475π + 2250π = 4725π m²
Answer:
A. 0
Step-by-step explanation:
3ab+5b-6
= 3(-1)(3)+5(3)-6
=3(-3)+15-6
=-9+9
=0 ( you have to subtract because they don't have the same signs)
Integration by parts will help here. Letting

and

, you end up with

and

. Now


For the remaining integral, setting

gives

, so

Putting everything together, you end up with