Step-by-step explanation:
To find the radius of the sphere we must convert the inches to centimeters
Using the conversation
1 inch = 2.54 cm
If 1 inch = 2.54 cm
4.17 inch = 2.54 × 4.17 = 10.59 cm
<h2>a).</h2>
We can find the radius using the formula

From the question
diameter = 10.59 cm
So we have

<h3>radius = 5.30 cm</h3>
<h2>b).</h2>
Surface area of a sphere= 4πr²
where
r is the radius
Surface area = 4(5.30)²π
= 112.36π
= 352.989
We have the answer as
<h3>Surface area = 353 cm²</h3>
<h2>c).</h2>
Volume of a sphere is given by

r = 5.30
The volume of the sphere is

= 623.61451
We have the answer as
<h2>Volume = 623.6 cm³</h2>
Hope this helps you
After 4 years the rate would have happened 4 times making the initial deposit increase 10%. 10% of 25000 is 2500. So 25000 plus 2500 is $27500.
Answer:
Answer in file:
Step-by-step explanation:
Answer:
1 : 1
Step-by-step explanation:
When a circle is inscribed in a cylinder, the height of the cylinder is equal to the diameter of the sphere and the radius of the cylinder is same as that of the sphere.
Let the radius of sphere is r.
height of cylinder, h = 2r
radius of cylinder = r
Surface area of sphere, A = 4πr²
lateral surface area of cylinder, A' = 2 πrh
A' = 2πr x 2r = 4πr²
The ratio of surface area of sphere to the lateral surface area of cylinder is 1 : 1.