How do you find the surface area of a right triangle?
2 answers:
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Given:
Sphere and cylinder have same radius and height.
Volume of the cylinder = 48 cm³
To find:
The volume of the sphere.
Solution:
Radius and height of cylinder are equal.
⇒ r = h
Volume of cylinder:
Substitute the given values.
(since r = h)
Divide by 3.14 on both sides.
Taking cube root on both sides, we get
2.48 = r
The radius of the cylinder is 2.48 cm.
Sphere and cylinder have same radius and height.
Volume of sphere:
The volume of the sphere is 63.85 cm³.
From the given volume, we know that the ratio is:
From the given area, we know that the ratio is:
Equate the two ratio and solve for x:
Cube both sides:
Square both sides:
Simplify each term:
Cross multiply:
Divide both sides by 256:
Cube root both sides: