Question about Spatial Geometry: Metric Relations of Cones
Subject Mathematics
Mathematics
Source Originais Teachy
Originais Teachy
Topic Spatial Geometry: Metric Relations of Cones
Spatial Geometry: Metric Relations of Cones
Difficulty Medium
Medium
(Originais Teachy 2023) - Question Medium of Mathematics
An ice cream container has the shape of a cone with a height of 15 cm and a base radius of 8 cm. A company wants to create a new design of an ice cream container that will maintain the same volume, but with a different base. They propose an ice cream container with a base in the shape of a circle with double the radius (16 cm) and its height being kept the same as the original container. To keep the volume constant, what should be the new height of the ice cream container with the new circular base?a.
The new height of the ice cream container with the new circular base is approximately 7.547 cm.
b.
The new height of the ice cream container with the new circular base is approximately 5.367 cm.
c.
The new height of the ice cream container with the new circular base is approximately 10.072 cm.
d.
The new height of the ice cream container with the new circular base is approximately 3.773 cm.
e.
The new height of the ice cream container with the new circular base is approximately 12.111 cm.
Answer sheet:
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices. Sed non sem ultricies, sollicitudin sem facilisis, commodo justo. Maecenas mattis sodales nunc, et auctor massa fermentum a. Maecenas eget nisl felis.
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Curabitur id consequat justo. Cras pellentesque urna ante, eget gravida quam pretium ut. Praesent aliquam nibh faucibus ligula placerat, eget pulvinar velit gravida. Nam sollicitudin pretium elit a feugiat. Vestibulum pharetra, sem quis tempor volutpat, magna diam tincidunt enim, in ullamcorper tellus nibh vitae turpis. In egestas convallis ultrices.
Answer sheet
You need to be a registered teacher to view the answer sheet
IARA TIP
Are you putting together a test or exercise list?
On Teachy’s platform, you can automatically generate these materials without spending hours searching for questions 😉
Those who viewed this question also liked...
Question
Question
Difficulty Medium
Source:
UEMG
Combinatorial Analysis: Simple Permutation
Difficulty Medium
Question
Question
Difficulty Hard
Source:
ENEM
Sequence Terms
Difficulty Hard
Question
Question
Difficulty Medium
Source:
Teachy
In a civil engineering project, an architect needs to divide a rectangular plot of land into two equal parts for the construction of two semi-detached houses. The coordinates of the vertices of the land on the Cartesian plane are A(0, 0), B(30, 0), C(30, 20), and D(0, 20). Using concepts of analytic geometry, determine the coordinates of the point that represents the midpoint of side CD of the land, which will be the dividing point between the two new properties. Then, verify if the obtained midpoint point is indeed on segment CD, ensuring the accuracy of the project. Explain the reasoning used to determine the coordinates and to verify the positioning of the midpoint on the land.
Analytic Geometry: Midpoint
Difficulty Medium
Question
Question
Difficulty Hard
Source:
Teachy
Imagine you are helping your younger brother with a Math assignment. He asked you what a rational number is. Explain to him, in a simple way, what a rational number is. Remember to mention the different ways a rational number can be written, such as fractions, decimal numbers, and recurring decimals.
Rational Numbers: Introduction
Difficulty Hard
Join a community of teachers directly on WhatsApp
Connect with other teachers, receive and share materials, tips, training, and much more!
We reinvent teachers' lives with artificial intelligence
Materials
2023 - All rights reserved