3 inches
5 inches
9 inches
The required radius of the given cone is 3 inches which is the correct answer would be option (B).
The volume of a cone is defined as the amount of space occupied by a cone in a three-dimensional plane.
The volume of the cone (V )= 1/3πhr²
The volume of a cone is 141.3 cubic inches. The height of the cone is 15 inches.
To determine the radius of the given cone.
The volume of the cone (v) = 1/3πr²h
Substitute the values of h and v, solve for r
⇒ 141.3 = 1/3π(r)²(15)
⇒ 141.3 = π(r)²(5)
Divided by 5π into both sides of the above equation,
⇒ 141.3/5π = (r)²
⇒ 9 = (r)²
⇒ (r)² = 3²
⇒ r = 3
Hence, the required radius of the given cone is 3 inches.
Learn more about the volume of the cone here:
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B) B=3h/V
C) B=V-1/3/h
D) B=V+1/3/h
Answer:
A) B = 3V/h
Step-by-step explanation:
Given: The formula for the volume of a pyramid is V=1/3Bh.
From the above equation, we have to solve for B.
We use inverse operation to find B.
Multiply by reciprocal of 1/3 on both sides. the reciprocal of 1/3 is 3.
So, multiply by 3 on both sides, we get
3V = 3*1/3*B*h
3V = B*h
Now divide both sides by h, we get
3V/h = Bh/h
3V/h = B
Therefore, the answer is A) B = 3V/h
A) B=3V/h
Multiply both sides by 3 to get 3V=Bh. Divide both sides by h, and you get 3V/h=B
Rewrite the expression in the form aⁿ
a⋅a⁷=