Answer:
The area of the sector is 
Step-by-step explanation:
step 1
Find the area of the circle
The area of the circle is equal to

we have
----> the radius is half the diameter
substitute


step 2
Find the area of a sector with a central angle of (2pi/3)
Remember that
The area of
subtends a central angle of 
so
by proportion
Let
x----> the area of the sector

Answer:
12x^3-9x^2
Step-by-step explanation:

Hope this helps!
Answer:
Volume of the similar sphere be 64 :343 .
Option (D) is correct.
Step-by-step explanation:
Formula

As given
The volumes of two similar spheres given that the ratio of their radii is 4:7 .
Let us assume that the x be the scalar multiple of the radi .
Radius of first sphere = 4x
Radius of second sphere = 7x
Putting the values in the formula




Thus


Therefore the ratio of the volume of the similar sphere be 64 :343 .
Option (D) is correct .