How Much to Fill it Up
* Volume of the Cone (100th):
b = 21 c = 30
* Volume of a single scoop of ice cream in that cone?
cone: 43,524.96
scoop: 38,792.39
Surface Area of Cone:
b = 10.6 a = 9.2
Surface area of sphere that fits in the cone:
S.A. of Cone: 659.36
S. A. of Sphere: 1411.96
Length of an arc for a circle that has a radius of 7.75 and a central angle of 100
A.L. = 13.53
Area of Sector that has a central angle of 135 degrees and a radius of 10.55?
Area of Sector: 131.13
The wrapping paper needed to wrap a pyramid shaped gift:
b = 9cm a = 7cm
without wrapping the bottom of the gift?Wrapping Paper needed: 126cm squared
* Volume of Pyramid
b = 6.7 c = 4.25
Bonus Pt... slant height of pyramid
Volume: 63.59
Slant height: 5.41
* Surface Area of Pyramid
a = 6.25 b = 4.7
S.A. = 80.84
Length of an arc that has a central angle of 215 degrees, and the circle has a radius of 16.5
A.L. = 61.92
Area of a Sector when the radius is 38 and the central angle is 105
Area of Sector: 2646.27
A quarterback is throwing a perfect arc to his receiver that is 40 yards downfield. How far will the ball actually travel through the air?
It will travel 62.83yds.
* Volume of Cylinder
c = 12.4 a = 8.9
* Volume of Cone that fits perfectly in cylinder
Volume: 1074.79
Volume of Cone: 358.26
Surface Area of Cone:
a = 15.3 c = 13
S.A. = 445.16
Radius = 5
Area of a Sector when the arch length is 200.64 and a radius of 14.5?
Area of a Sector = 1454.64
A clock maker wants to make a large clock for a customer. The arch length from noon to 3 o'clock is 32.9867in. How wide is the clock?
It has a radius of 21....
so it is 42in wide
* Volume of Square Pyramid:
c = 19 b = 22.1Volume of Cone of same size base
Volume of Pyramid: 3093.26
Volume of Cone: 2429.44
Surface Area of a Pyramid:
c = 6.65 a = 9.52 b = 11.42
S.A.= 347.85
What is the arc length of a central angle of 280 degrees with a circle that has a diameter of 25?
A.L. = 61.09
Area of a Sector that has a diameter of 26 and an arc length of 72.85?
Area of Sector: 473.53
A paper cone is to be filled with flavored ice, that will be filled over the top to create a spherical cap of flavored ice. The cone is:
b = 1.5in c = 3.5in
What is the total volume of flavored ice needed?
15.32 cubic inches
Volume of Cylinder: 1407.4335
b= 8 what is a?
Volume of Cone: 506.8436
b = 5.5 what is c?
a = 7
c = 16
Surface Area of a Cone:
c = 8 f = 12
S.A. = 301.59
What is the central angle of an arc length of 25.22 and a radius of 17?
Central Angle: 85 degrees
The area of a sector that has an arc length of 50.2654 and a central angle of 160 degrees?
Area of Sector = 452.39
A spherical ball is to be filled with water. The diameter of the ball is 26.75cm.
If 100 cubic cm = 0.0264172 gallons, how many gallons would it take to fill it?
2.65 gallons