The height of the cone 4 inches.
Step-by-step explanation:
Given,
Volume of cylinder and cone is same.
For cylinder
Radius (r) = 2 inches
Height (h) = 3 inches
For cone
Radius (r) = 3 inches
To find the height of cone say H
Formula:
Volume of cylinder = π[tex]r^{2} h[/tex]
Volume of cone = [tex]\frac{1}{3}[/tex] π[tex]r^{2} h[/tex]
According to the problem,
π[tex]2^{2} X3[/tex] = [tex]\frac{1}{3}[/tex]π[tex]3^{2} H[/tex]
or, H = [tex]\frac{3X2^{2}X3 }{3^{2} }[/tex]
or, H = 4
Hence,
The height of the cone 4 inches.
Answer:
H = 4
Cylinder V= 37.68
Cone V = 37.68 (workings below)
Step-by-step explanation:
Cylinder V= pi x r x r x 3
= 3.14 x 2 x 2 x 3
= 12.56 x 3
= 1.68+36
= 37.68
Cone V= pi x r x r x ?
= 3.14 x 3 x 3
= 28.26
=37.86 / 28.26 =1.339
=1.34 x 28.26=37.86
Retry= 1/3 * base * height.
= 1/3*3.14*3=3.14 x 4 = 12.56
Then x 3 base again = 37.68
= 4
