There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. th
e amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.
the figure is not drawn to scale
A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
the figure is not drawn to scale
A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
1 answer:
The complete question is
<span>There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.
the figure is not drawn to scale
A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm
Part A) </span>what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.
we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³
the answer part A) is 36*pi cm³ (113.04 cm³)
Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³
the answer part B) is 36*pi cm³ (113.04 cm³)
Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere
36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³
the answer Part C) is 54*pi cm³ (169.56 cm³)
Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³
the answer Part D) is 18*pi cm³ (56.52 cm³)
<span>There are two flavors of ice cream; strawberry and chocolate. the amount of strawberry ice cream is in the shape of a sphere. the amount of chocolate ice cream fills the rest of the cone. the dimensions of the sphere is 6cm and the cone is 12cm.
the figure is not drawn to scale
A. what is the volume, in cubic centimeters of the right circular cone ?show or explain how you got your answer.
B. the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
C. what is the total volume in cubic centimeters of all the ice creams?
D.the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
we know that
the height of the cone is 12 cm
the diameter of a cone is 6 cm
Part A) </span>what is the volume, in cubic centimeters of the right circular cone? show or explain how you got your answer.
we know that
the volume of a cone=(1/3)*pi*r²*h
r=6/2----> 3 cm
h=12 cm
The volume of a cone=(1/3)*pi*3²*12------> 36*pi cm³-------> 113.04 cm³
the answer part A) is 36*pi cm³ (113.04 cm³)
Part B) the amount of strawberry ice cream is in the shape of a sphere. what is the volume in cubic centimeters of the strawberry ice cream?
volume of a sphere=(4/3)*pi*r³
r=3 cm
volume of a sphere=(4/3)*pi*3³-----> 36*pi cm³------> 113.04 cm³
the answer part B) is 36*pi cm³ (113.04 cm³)
Part C) what is the total volume in cubic centimeters of all the ice creams?
volume of the cone+volume of a hemisphere
36*pi+18*pi-----> 54*pi cm³-------> 169.56 cm³
the answer Part C) is 54*pi cm³ (169.56 cm³)
Part D) .the amount of chocolate ice cream fills the rest of the cone. what is the volume in cubic centimeters of the chocolate ice cream?
volume of a cone-volume of a hemisphere
36*pi-18*pi-----> 18*pi cm³-----> 56.52 cm³
the answer Part D) is 18*pi cm³ (56.52 cm³)
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Answer:
The Distance cover by both the Runners is same = 10 miles
Step-by-step explanation:
According to question ,
The Speed of first runners (S 1) = 5 miles per hour
The speed of second runners (S 2) = 4 miles per hour
Let The Time taken by First runner (T 1 ) = T hour
But the second runner arrives half hour after the first runner ,
I.e The Time taken by Second runner (T 2) = ( T + )
Now from Distance = Speed × Time
Since both the runners start from same place and run along the same trail
SO ,Both the Distance cover by both are same , D 1 = D 2
i.e Speed 1 × Time 1 = Speed 2 × Time 2
5 mph × T = 4 mph × ( T + )
5 T = 4 T + ( 4 × )
Or, 5 T - 4 T = 2
∴ T = 2 hour ,
Time take by first = T1 = T = 2 hour
Time take by second = T2 = T + = (2 +
)hour =
Now the Distance cover = Speed × Time
Distance (D1) = 5 mph × 2 hour = 10 mile
And Distance (D2) = 4 mph × = 10 miles
Hence, As The Distance cover by both the Runners is same = 10 miles Answer