What is the approximate surface area of the sphere c=37.68?

QUESTION POSTED AT 18/04/2020 - 06:44 PM

Answered by admin AT 18/04/2020 - 06:44 PM

A = 4  \pi  R x^{2}
The question does not give you the radius so we have to get it from circumference
Circumference =  \pi (diameter)
Divide each side by  \pi : Diameter =  \frac{C}{ \pi }
Radius = 1/2 diameter : R =  \frac{C}{2 \pi }
Area = 4 \pi  R^{2}
4 \pi ( \frac{C}{2 \pi })^{2}  =
4 \pi   \frac{(C) ^{2} }{4 \pi ^{2} }
Divide top & bottom by 4 \pi : A=  \frac{(C) ^{2} }{ \pi }
Circumference = 37.68 units

Area =    \frac{(37.68)^{2} square units}{ \pi } = 451.93 square units


451.93 square units
Post your answer

Related questions

The lengths of three sides of a quadrilateral are shown below: Side 1: 3y2 + 2y − 6 Side 2: 3y − 7 + 4y2 Side 3: −8 + 5y2 + 4y The perimeter of the quadrilateral is 4y3 + 18y2 + 16y − 26. Part A: What is the total length of sides 1, 2, and 3 of the quadrilateral? (4 points) Part B: What is the length of the fourth side of the quadrilateral? (4 points) Part C: Do the answers for Part A and Part B show that the polynomials are closed under addition and subtraction? Justify your answer. (2 points) QUESTION 2: A rectangle has sides measuring (4x + 5) units and (3x + 10) units. Part A: What is the expression that represents the area of the rectangle? Show your work to receive full credit. (4 points) Part B: What are the degree and classification of the expression obtained in Part A? (3 points) Part C: How does Part A demonstrate the closure property for polynomials? (3 points) QUESTION 3: A bucket of paint has spilled on a tile floor. The paint flow can be expressed with the function p(t) = 5t, where t represents time in minutes and p represents how far the paint is spreading. The flowing paint is creating a circular pattern on the tile. The area of the pattern can be expressed as A(p) = πp2. Part A: Find the area of the circle of spilled paint as a function of time, or A[p(t)]. Show your work. (6 points) Part B: How large is the area of spilled paint after 2 minutes? You may use 3.14 to approximate π in this problem. (4 points)

QUESTION POSTED AT 01/06/2020 - 04:46 PM