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A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound?

User Adam Liter
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2 Answers

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Answer:A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

Explanation:

User Trismegistos
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1 vote

Answer:

1583362.7 termites

Explanation:

A conical termite mound has a height of 1.4m and a base of radius 60cm if there are three termites per cubic centimeter, how many termites inhabit the mound

The formula for the volume of a cone

= πr²h/3

Radius = r = 60cm

Height = h = 1.4 m

Converting to centimeters.=

1m = 100cm

1.4m = x

x = 1.4 × 100cm = 140 cm

Volume of the cone = π × 60² × 140/3

527787.5658 cm³

From the above question

1cm³ = 3 termites

527787.5658 cm³ = x

Cross Multiply

x = 3 × 527787.5658

x = 1583362.6974 termites

Approximately.= 1583362.7 termites

User Hirosht
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