2 answers:
Answer:
V = 98.955cubic inches
Step-by-step explanation:
Volume of a cone
V = πr^2h/3
V = volume
π = pie
r = radius
h = height
Given
V = 33
π - 3.14
Since r = h
Let r = h = y
Substitute y for r and h
V = πr^2h/3
33 = 3.14 * y^2 * y/3
33 = 3.14/3 * y^2 * y
33 = 1.047y^3
y^3 = 33/1.047
y^3 = 31.5186
y = 3.1587
y ≈ 3.16
Since y = 3.16
Then r = h = 3.16
Volume of a cylinder
V = πr^2h
V = 3.14 * 3.1587^2 * 3.1587
= 3.14 * 9.977 * 3.1587
= 98.955 cubic inches
Answer:
99 in³
Step-by-step explanation:
cone: 1/3 πr²h
Cylinder: πr²h
cone : 33 Cylinder = 3 x 33 = 99
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