Answered

Find solutions to your problems with the expert advice available on IDNLearn.com. Our experts provide prompt and accurate answers to help you make informed decisions on any topic.

What is the formula for the volume of a right cone with base area [tex]\(B\)[/tex] and height [tex]\(h\)[/tex]?

A. [tex]\(V=\frac{1}{3} B h\)[/tex]
B. [tex]\(V=B h^2\)[/tex]
C. [tex]\(V=3 B h\)[/tex]
D. [tex]\(V=-\frac{1}{3} B h\)[/tex]

Sagot :

GinnyAnsweridn
To find the volume of a right cone with a base area [tex]\(B\)[/tex] and height [tex]\(h\)[/tex], we use the standard formula for the volume of a cone.

A cone is a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex. The formula for the volume [tex]\(V\)[/tex] of a right cone (a cone where the apex is directly above the center of the base) is derived as follows:

1. Formula for the volume of a cone:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

2. Substitute the given variables:
- Base Area = [tex]\( B \)[/tex]
- Height = [tex]\( h \)[/tex]

Thus, the formula for the volume of a right cone becomes:

[tex]\[ V = \frac{1}{3} B h \][/tex]

Therefore, the correct answer is:
A. [tex]\( V = \frac{1}{3} B h \)[/tex]
Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is your source for precise answers. Thank you for visiting, and we look forward to helping you again soon.