Answered

Welcome to Westonci.ca, where you can find answers to all your questions from a community of experienced professionals. Join our Q&A platform to connect with experts dedicated to providing accurate answers to your questions in various fields. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

Mai has a dome paperweight that she can use as a magnifier. The paperweight is
shaped like a hemisphere made of solid glass, so she wants to design a box to keep it in
so it won't get broken. Her paperweight has a radius of 3 cm.
What should the dimensions of
the inside of box be so the box is
as small as possible?

Mai Has A Dome Paperweight That She Can Use As A Magnifier The Paperweight Is Shaped Like A Hemisphere Made Of Solid Glass So She Wants To Design A Box To Keep class=

Sagot :

semsee45

Answer:

6 x 6 x 3 cm

Step-by-step explanation:

The base of the box needs to fit the base of the hemisphere.

The maximum width and length of the hemisphere is the diameter of the base of the hemisphere (which is circular)

Diameter of a circle = 2r

As the radius = 3 cm,  the diameter = 2 x 3 = 6 cm

Therefore, the width and length of the box should both be 6cm

The height of the box needs to accommodate the height of the hemisphere.  The height of the hemisphere is the radius, so the height of the box should be 3 cm.

Therefore, the dimensions of the box should be 6 x 6 x 3 cm

Thank you for your visit. We are dedicated to helping you find the information you need, whenever you need it. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.