Answer:
The volume of this pyramid is 16 cm³.
Step-by-step explanation:
The volume
of a solid pyramid can be given as:
,
where
is the area of the base of the pyramid, and
is the height of the pyramid.
Here's how to solve this problem with calculus without using the previous formula.
Imaging cutting the square-base pyramid in half, horizontally. Each horizontal cross-section will be a square. The lengths of these squares' sides range from 0 cm to 3 cm. This length will be also be proportional to the vertical distance from the vertice of the pyramid.
Refer to the sketch attached. Let the vertical distance from the vertice be
cm.
- At the vertice of this pyramid,
and the length of a side of the square is also
. - At the base of this pyramid,
and the length of a side of the square is
cm.
As a result, the length of a side of the square will be
.
The area of the square will be
.
Integrate the area of the horizontal cross-section with respect to
- from the top of the pyramid, where
, - to the base, where
.
.
In other words, the volume of this pyramid is 16 cubic centimeters.
Answer:
11.45
Step-by-step explanation:
the circumference is 36 so divide it by pie then rounded it to the nearest hundredths place
Answer:
1.69 kg
Step-by-step explanation:
add than subtract
yep thats it
An expression is defined as a set of numbers, variables, and mathematical operations. The correct options are A and C.
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given exponential (6⁻¹⁰/6⁻⁴) function can be simplified as shown below,
(6⁻¹⁰/6⁻⁴)
= 6⁻¹⁰ × 6⁴
= 6⁽⁻¹⁰⁺⁴⁾
= 6⁻⁶
= 1/6⁶
Hence, the correct options are A and C.
Learn more about Expression:
brainly.com/question/13947055
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Can you post the scale drawing please so I can help you