Answer:
Radius of cylinder = 4.5 inch
Circumference of Base = 9π inch
Area of base = 20.25π
Step-by-step explanation:
Given:
Diameter of cylinder = 9 inch
Height of cylinder = 22 inch
Find:
Radius of cylinder
Circumference of Base
Area of base
Computation:
Radius of cylinder = Diameter of cylinder / 2
Radius of cylinder = 9 / 2
Radius of cylinder = 4.5 inch
Circumference of Base = 2πr
Circumference of Base = 2π(4.5)
Circumference of Base = 9π inch
Area of base = πr²
Area of base = π(4.5)²
Area of base = 20.25π
Check the picture below.
so first off, let's convert the mixed fractions to "improper fractions", and then sum them up.
![\bf \stackrel{mixed}{3\frac{1}{2}}\implies \cfrac{3\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{7}{2}} \\\\\\ \stackrel{mixed}{2\frac{1}{8}}\implies \cfrac{2\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{17}{8}} \\\\\\ \stackrel{mixed}{2\frac{1}{2}}\implies \cfrac{2\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{5}{2}}\\\\ -------------------------------](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B3%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B3%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B2%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B8%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%208%2B1%7D%7B8%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B17%7D%7B8%7D%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B2%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%202%2B1%7D%7B2%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B2%7D%7D%5C%5C%5C%5C%0A-------------------------------)
If i = √-1 ,
then ...
i² = (√-1)² = -1
i³ = - √-1 = -i <== the answer to the question
i⁴ = (i²) · (i²) = (-1) · (-1) = 1
and then the whole thing starts over again, for higher powers of i .
Given:
Length = 20 cm
Width = 4.5 cm
Height = 23 cm
To find:
Surface area of rectangular prism
Solution:
Surface area formula:
SA = length × width × height
= 20 × 4.5 × 23
= 2070
Surface area of cylinder is 2070 square centimeters.