how do you think through and answer a real world problem involving cones?
Post on 15-Feb-2016
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How do you think through and answer a real world problem involving cones?
For example: A conical glass flower vase has a base that is 6 inches in diameter and the vase holds approximately 113 cubic inches of water. What
is the height of the vase?
In this lesson you will learn how to solve real world problems by finding the
volume of cones.
Let’s ReviewLet’s Review
B= r2
h
Volume of ConeV = r2h
Let’s ReviewLet’s Review250 cubic inches of
water means I have a volume of 250 in3
inin2
in3
lengthareavolume
Let’s ReviewCore Lesson
V = r2h
A conical glass flower vase has a base that is 6 inches in diameter and the vase holds approximately 113 cubic inches of water. What
is the height of the vase?
Let’s ReviewCore Lesson
V = r2h Given: radius = 3 in volume = 113
in3
Find: height = ???
d=6 in so r=3
in
Let’s ReviewCore LessonV =r2h
113 in3 = 2 xh113 in3 = 32 xh
h = height 12 in
Let’s ReviewA Common MistakeV = r2h
V = 2 x 25.13 in3
= 2 x 25.13 in3
105 in5
Actual: h = 6 in
r= 2in
V = 25.13 in3
In this lesson you learned how to solve real world problems by
finding the volume of cones.
Let’s ReviewGuided Practice
A wax candle is in the shape of a right circular cone. The height of the candle
is 9cm and the candle contains approximately 167.55 cm3 of wax. What is the radius of the candle?
Let’s ReviewGuided PracticeV = r2h
113.1 cm3 = 2 x9cm2 = r =
= 2 cm
Find: radius= ?? Given: height = 9 cm
volume = 113.1 cm3
Let’s ReviewGuided Practice
A cement truck dumps 37.7 cubic feet of cement mix at a construction site in the shape of a conical mound. The base of the pile of cement has an approximate diameter of 6 ft. How tall is the mound of cement?
Let’s ReviewGuided PracticeV = r2h
37.7 ft3 = 2 xh h =
h = 4 ft
Find: height = ?? Given: diameter = 6 ft
volume = 37.7 ft3
Let’s ReviewExtension Activities
An ice cream shop stores ice cream in cylindrical containers that are 25 cm tall with radius 15 cm. They sell scoops of ice cream that are 6 cm in diameter. Approximately how many scoops of ice cream will the store be able to serve out of one full cylindrical container?
Let’s ReviewQuick Quiz
1. An ice cream cone has a radius of 2 in. How much melted ice cream will the cone hold if it has a height of 6 inches?
2. An art sculpture has a base in the shape of a cone. It took approximately 2.1 cubic ft of cement to make the base which has a diameter of 2 ft. How tall is the base?
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