Answered

Westonci.ca is the premier destination for reliable answers to your questions, brought to you by a community of experts. Experience the convenience of getting accurate answers to your questions from a dedicated community of professionals. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

From a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.​

Sagot :

temdan2001

Answer:

2463 cm^3

Step-by-step explanation:

Given that a cylinder of height of 24cm and base diameter 14cm, a cone having equal radius and height is hollowed out. Find the volume of the remaining solid of the cylinder.

Let first calculate the volume of the cylinder

V = πr^2h

Where the radius = 7 cm

V = π × 7^2 × 24

V = 3694.5 cm^3

Let's calculate the volume of a cone

V = 1/3πr^2h

V = 1/3 × π × 7^2 × 24

V = 1/3 × 3694.5

V = 1231.5 cm^3

To Find the volume of the remaining solid of the cylinder, minus the volume of a cone from the volume of a cylinder

Remaining volume V = 3694.5 - 1231.5

V = 2462.99 cm^3

V = 2463 cm^3 approximately

Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.