Point T is on line segment S U ‾ SU . Given T U = x − 1 , TU=x−1, S U = 3 x − 7 , SU=3x−7, and S T = x + 7 , ST=x+7, determine t
1 answer:
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Answer:
a) 301.59 cubic centimeters
b) 235.87 square centimeters
Step-by-step explanation:
a)
Volume of ice cream cone is volume of hemisphere PLUS volume of cone.
Volume of Hemisphere =
radius is given as 4, so,
Volume of Hemisphere =
Now, Volume of Cone =
Where radius is 4 and height is 10, so,
Volume of Cone =
Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters
b)
Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.
Surface Area of Hemisphere =
Surface Area of Cone =
We dont need to use the first part, since it is "inside". We need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).
4^2 + 10^ 2 = l^2
16 + 100 = l^2
116 = l^2
l = 10.77
Now to find the surface area of cone =
Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters
Answer:
see explanation
Step-by-step explanation:
A cube has 6 congruent square faces
The area of 1 face = ×
=
Multiply by 6 to obtain surface area of cube
surface area = 6 × =
=
units²