(Solved): Question 1 Question 2 Find the volume of the solid enclosed by the paraboloid \( x^{2}+y^{2}=16 z ...

Question 1

Question 2

Find the volume of the solid enclosed by the paraboloid \( x^{2}+y^{2}=16 z \), the \( x y \)-plane, and the cylinder \( x^{2}+y^{2}=256 \). (Give an exact answer. Use symbolic notation and fractions where needed.) Find the integral \( \iint_{R} 7 \cos (\theta) d A \), where \( 0 \leq r \leq 10,0 \leq \theta \leq \frac{\pi}{2} \). (Express numbers in exact form. Use symbolic notation and fractions where needed.) \( \iint_{R} 7 \cos (\theta) d A \) Incorrect