In the diagram the sphere touches each face of the cube at one point-the center of each face. if each side of the cube is 7cm, w
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Answer:
+
= 4 + 4 * 3 = 16 =
Step-by-step explanation:
The Pythagorean Theorem states that the two shorter sides of a right triangle squared and added together will equal the longest side (hypotenuse) of the right triangle squared. The longest side of this right triangle is 4, 4 squared is 16. The two shorter sides of the right triangle are 2 and , squared individually would be 4 and 12, and added together they also equal 16. These sides are a valid input for the Pythagorean Theorem, so these three sides are the sides of a right triangle. 2 and
being the legs of the right triangle, and 4 being the hypotenuse.
Let r represent the radius of cylinder.
We have been given that the height of a right circular cylinder is 1.5 times the radius of the base. So the height of the cylinder would be .
We will use lateral surface area of pyramid to solve our given problem.
, where,
LSA = Lateral surface area of pyramid,
r = Radius,
h = height.
Upon substituting our given values in above formula, we will get:
Now we will find the total surface area of cylinder.
Therefore, the ratio of total surface area to lateral surface area is .