Question

a)Find the volume of a cone and the cup
b)Which out of the two has more capacity

Answer 1

Hi friend
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Your answer
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(a) VOLUME OF CONE AND CUP

IN THE CONE,
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RADIUS = 5 cm

HEIGHT = 8 cm

VOLUME OF CONE = 1/3 × π × r² × h

$\frac{1}{3} \pi \times (5) {}^{2} \times 8 \\ \\ = \frac{1}{3} \times \frac{22}{7} \times 5 \times 5 \times 8 \\ \\ = \frac{4400}{21} \\ = 209.523cm {}^{3}$

NOW,
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IN THE CUP,
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RADIUS = 5 cm

HEIGHT = 8 cm

VOLUME = π × r² ×h

$\pi \: \times r {}^{2} \times h \\ \\ = \frac{22}{7} \times (5) {}^{2} \times 8 \\ \\ = \frac{22}{7} \times 5 \times 5 \times 8 \\ \\ = \frac{4400}{7} \\ \\ = 628.571 \: cm {}^{3}$

(b) WHICH HAS MORE CAPACITY?

CAPACITY OF CONE = 209.523 cm³

CAPACITY OF CUP = 628.571 cm³

THEREFORE,
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THE CUP HAS MORE CAPACITY THAN THE CONE.

HOPE IT HELPS

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