The radius of a sphere whose volume is 12 π cubic cm is??
2 answers:
Given a radius , the volume of a sphere is given by
We can solve this formula for the radius, given the volume:
We can plug our value for the volume to get the radius:
Answer:
or approximately 2.08 cm
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
12 pi = 4/3 pi r^3
Divide each side by pi
12 = 4/3 r^3
Multiply each side by 3/4
12 *3/4 = 3/4 * 4/3 r^3
9 = r^3
Take the cube root of each side
9 ^ 1/3 = r^3 ^ 1/3
9 ^ 1/3 = r
The radius is the cube root of 9
or approximately 2.080083823
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Answer:- B. No, because the corresponding congruent angles listed are not the included angles.
Explanation:-
Given:- ΔWXY and ΔBCD with ∠X ≅∠C, WX ≅ BC, and WY ≅ BD.
Now, look at the attachment
We can see that ∠X and ∠C are not included angles by the corresponding equal sides.
⇒ We cannot use SAS postulate to show ΔWXY ≅ ΔBCD .
⇒ B is the right option.
SAS postulate tells the if two sides of a triangle and their included angle is equal to the two sides of a triangle and their included angle of another triangle then the two triangles are congruent.
