Answer: (27- 4/3 pi) r^3
Step-by-step explanation: 1. Volume of a cube: V= a^3, V= 3^3 , V=27
2. Volume of a sphere: V=4/3 pi r^3 ......
Answer:
The measure of angle HBC is m∠HBC=61°
Step-by-step explanation:
In this problem we have that
The line BH bisects angle EBC,
see the attached figure to better understand the problem
then
m∠EBC=m∠EBH+m∠HBC
m∠EBH=m∠HBC
so
m∠EBC=2(m∠EBH)
substitute the given values and solve for a

<em>Find the measure of angle EBH</em>
m∠EBH=(4(4)+45)=61°
Remember that
m∠EBH=m∠HBC
therefore
The measure of angle HBC is m∠HBC=61°
Answer:
Option (3) is correct.
side length of square is (3x + 13 ) units.
Step-by-step explanation:
For a square with side 'a'. Perimeter is defined as the sum of length of side. Since, Square has four sides. Thus Perimeter of square = 4 × side
Given square has perimeter = 12x + 52
Comparing both sides,
4 × side = 12 x + 52
⇒ Side = 
⇒ Side = 
⇒ Side = 3x + 13
Thus, side length of square is (3x + 13 ) units.
Thus, option (3) is correct.