How many cubic centimers of water can this paper cone cup hold?
1 answer:
Answer:
B: 48π cubic centimeters
Step-by-step explanation:
A: 216π cubic centimeters
B: 48π cubic centimeters
C: 144π cubic centimeters
D: 192π cubic centimeters
Volume of the paper cone cup = 1/3πr²h
Diameter = 8 cm
Radius, r = diameter / 2
= 8 cm / 2
= 4 cm
Height, h = 9 cm
Volume of the paper cone cup = 1/3πr²h
= 1/3 × π × 4² × 9
= 1/3 × π × 16 × 9
= (1 × π × 16 × 9) / 3
= 144π / 3
= 48π cm³
Volume of the paper cone cup = 48π cm³
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or -a + b, has a conjugate of - a - b, or c - d, has a conjugate of c +d, and so on
anyway, the idea being, to "rationalize" the expression, namely, getting rid of the pesky radical in the denominator
so, we'll multiply the expression by 1, since anything times 1 is just itself
however, bear in mind, that 1, can be a/a, or b/b, or cheese/cheese, or anything/anything
so, we'll multiply the top and bottom of the fraction, by the conjugate of the denominator
anyhow, that said
or -a + b, has a conjugate of - a - b, or c - d, has a conjugate of c +d, and so on
anyway, the idea being, to "rationalize" the expression, namely, getting rid of the pesky radical in the denominator
so, we'll multiply the expression by 1, since anything times 1 is just itself
however, bear in mind, that 1, can be a/a, or b/b, or cheese/cheese, or anything/anything
so, we'll multiply the top and bottom of the fraction, by the conjugate of the denominator
anyhow, that said