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Eduardwww [97]
1 year ago
15

This "hourglass" consists of two identical solid cones contained in a right cylinder. The cylinder is 12 cm tall and the circumf

erence of the base is 61 cm. Find the volume of the space between the cylinder and the two cones.
Mathematics
1 answer:
ratelena [41]1 year ago
4 0

Volume is a three-dimensional scalar quantity. The volume of the space between the cylinder and the two cones is 1184.43183 cm³.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the circumference of the base is 61 cm, therefore, the radius of the base will be,

Circumference = 61 cm

2πR = 61

R = 61/(2π) = 9.70845 cm

The volume of the cylinder(Outside shell) can be written as,

Volume = πR²×H

             = π× (9.70845)² ×12

             = 3553.29326 cm³

The volume of the two identical cones will be,

The volume of the cone = 2× (1/3) × π × R² × H

                                        = (2/3)×π×(9.70845²)×12

                                        = 2368.86143 cm³

The volume of the space between the cylinder and the two cones is,

The volume between space = 3553.29326 cm³ -  2368.86143 cm³

                                                = 1184.43183 cm³

Hence, the volume of the space between the cylinder and the two cones is 1184.43183 cm³.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

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