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svlad2 [7]
3 years ago
12

Find the volume of the composite solid. Round your answer to the nearest hundredth.

Mathematics
2 answers:
artcher [175]3 years ago
6 0

Answer:

737.23

Step-by-step explanation:

formua for sphere:

V = 4/3 πr^3

so the volume would be 268.08

divide by 2 bc its only half of a sphere

you get 134.04

formula for cylinder:

V = πr^2h

so the vlume would be 603.19

add the volumes together you get 737.23

zaharov [31]3 years ago
5 0

Answer:

Volume of solid = 737 cm³ (Approx)

Step-by-step explanation:

Given:

Radius r = 4 cm

Length of cylinder = 12 cm

Find:

Volume of solid

Computation:

Volume of solid = Volume of hemisphere + Volume of cylinder

Volume of solid = (2/3)πr³ + πr²h

Volume of solid = (2/3)π(4)³ + π(4)²(12)

Volume of solid = 134 + 603

Volume of solid = 737 cm³ (Approx)

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Answer:

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a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

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A ∩ A' = ∅

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A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅  ∩ B' = ∅

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A ∩ (A ∪ B)' = ∅.

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