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4. Find the volume of the figure. The base is a square.

5. Find the volume of the figure. Leave the answer in the terms of pi

4. Find the volume of the figure. The base is a square. 5. Find the volume of the-example-1
User Ranee
by
8.5k points

1 Answer

5 votes

Answer:

A) 283500 ft³

B) 1057.26 π in³

Explanation:

A) Volume of square based pyramid

= 1/3 × Area of the base × height

= 1/3 × (90 ft)² × 105 ft

= 283500 ft³

B) This figure is a composite figure

Step 1

Find the volume of the cone

=1/3 πr²h

r = radius = 8.5 in

h = height = 10 in

= 1/3 × π × (8.5 in)² × 10 in

= 240.83333333 π in³

≈ 240.83 π in³

Step 2

Find the volume of the cylinder

= πr²h

= r = radius = 8.5 in

h = height = 11.3 in

= π × (8.5 in)² × 11.3 in

= 816.425 π in³

≈ 816.43π in³

Volume of the figure = (240.83 π + 816.43 π) in³

= 1057.26 π in³

User Aksadv
by
7.4k points

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