Below are the choices that can be found from other sources:
A) 36 pi
<span>B) 6 pi </span>
<span>C) 27 pi </span>
<span>D) 216 pi </span>
<span>E) 48 pi
</span>
A sphere's volume is (4/3)*pi*r^3.
<span>The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. </span>
<span>(4/3)*pi*3^3 = 36 * pi </span>
<span>But the balloon is only 3/4 full. So </span>
<span>36 * (3/4) * pi = 27 * pi. </span>
<span>The balloon has 27 pi cubic inches of water.</span>
Sin45=AC/BC
1/(square root)2=(square root5)/x
X=(square root 2) x (square root 5)
X=(square root 10)
The amount of water a conical cup can hold will be V=18.84 Cubic inches.
<h3>What is Volume?</h3>
Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width and height of the cube and for the cone it will be radius and height.
It is given in the question that:-
Cone is 8 inches tall.
Cone has a radius of 1.5 inches.
The amount of water a cup can carry will be calculated as:-
Volume of cone = (1/3) x π x r² x h
Volume of cone = (1/3) x π x (1.5)² x 8
Volume of cone = 18.8 cubic in.
Hence the amount of water a conical cup can hold will be V=18.84 Cubic inches.
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