Answer: 
Step-by-step explanation:
Given
from the figure
![\angle HIE=\angle GIF\quad [\text{vertically opposite angles}]\\\angle HID+\angle DIE=\angle GIF\\15^{\circ}+(18x)^{\circ}-2^{\circ}=103^{\circ}\\(18x)^{\circ}=103^{\circ}-13^{\circ}\\\\x=\dfrac{90^{\circ}}{18}\\\\x=5^{\circ}](https://tex.z-dn.net/?f=%5Cangle%20HIE%3D%5Cangle%20GIF%5Cquad%20%5B%5Ctext%7Bvertically%20opposite%20angles%7D%5D%5C%5C%5Cangle%20HID%2B%5Cangle%20DIE%3D%5Cangle%20GIF%5C%5C15%5E%7B%5Ccirc%7D%2B%2818x%29%5E%7B%5Ccirc%7D-2%5E%7B%5Ccirc%7D%3D103%5E%7B%5Ccirc%7D%5C%5C%2818x%29%5E%7B%5Ccirc%7D%3D103%5E%7B%5Ccirc%7D-13%5E%7B%5Ccirc%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B90%5E%7B%5Ccirc%7D%7D%7B18%7D%5C%5C%5C%5Cx%3D5%5E%7B%5Ccirc%7D)
Volume of cone = (pi/3)r^2h
Volume of hemisphere = (1/2) (4pi/3)r^3
we are given r=6/2=3cm, h(cone)=8 cm,
so total volume
=(pi/3)r^2h + (1/2)(4pi/3)r^3
=(pi/3)*3^2*8 + (1/2)(4pi/3)*3^3
=24pi + 18pi
=42pi cm^3
=131.9 cm^3 (approx.)
Replace the 'x' in the formula for g(x) by f(x):-
g(f(x)) = (x-7)^3
Its D
You need 100 pennies to make a dollar
You need 10 dimes to make a dollar
ratio of pennies to dimes is 100:10, or 10:1 simplified
hope this helps
