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9)5π in

10)104π ft²

11)7 in

12)rectangular pyramid

13)40.5 in³

14)256π/3 ft³

Step-by-step explanation:

9) Given Radius,r=12m

angle of sector ACB, Θ=75°=

for given angle of sector, Θ the length of the arc will be

⇒length of arc AB=

                             = m

10) Given Radius,r=12 ft

angle of minor sector,Θ1=100°= radians

angle of major sector, Θ2=360°-100°=260°= radians

for a given angle of sector,Θ, the area of sector =

⇒area of shaded region=area of major sector=

= ft²

11) Given area of circle,A=153.9 in²

but area of circle is given by where r is the radius of the circle.

⇒

⇒

⇒

12) The following figure is pyramid but since its base is a rectangular, its known as rectangular pyramid.

13) Given in cylinder:

radius,r=3 in

height,h=4.5 in

Volume of cylinder=

= in³

14) Given diameter of sphere,d=8 ft

volume of sphere= ft³

d≈7.07in

step-by-step explanation: