The height of the cone is inches, if the cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
Step-by-step explanation:
The given is,
A cylinder and a cone have the same volume
Cylinder has a radius 2 inches and height of 3 inches.
Cone has a radius of 3 inches
Step:1
For Cylinder'
Formula to calculate the volume of cylinder is,
..................................................(1)
where,
r - 2 inches
h - 3 inches
From the equation (1)
= × × 3
= 37.70
V = 37.70 cubic inches
Step:2
For cone,
Formula to calculate the volume of cone is,
..................................................(2)
From the statement,
cylinder and a cone have the same volume
=
37.70 = × ×
37.70 = 9.42478 × h
Height of the cone, h = 4 inches
Result:
Thus the height of the cone is 4 inches, if a cylinder and cone have the same volume.The cylinder has a radius of 2 inches and a height of 3 inches. The cone has a radius of 3 inches.
There are 2 way to solve this.
one using Pythagoras theorem and 2nd using trigonometry
so lets solve it by both
using Pythagoras theorem we know
base^2 + perpendicular^2 = hypotanes^2
6^2 + x^2 = 12^2
36 + x^2 = 144
x^2 = 144- 36 = 108
x = √(108) = √( 2×2×3×3×3)
= (2×3) √ (3) = 6 √3
so answer is option 2
bow lets use trigonometry
we know
sin theta = perpendicular / hypotanes
sin 60 = x /12
x = 12 × sin 60
we kNow sin 60 = √3/ 2
so
x = 12×√3 /2 = 6√3
Answer:
Step-by-step explanation:
x is the cherries eaten
Answer: a= b/ b+2
Step 1: factor out variable a.
a(b+2)= b
Step 2: divide both sides by b+2.
a(b+2)/ b+2 = b/b+2