What is the permitter in simplest terms
1 answer:
You might be interested in
Answer:
The volume of the air that the beach ball will hold is 113,142.85 cm³.
Step-by-step explanation:
Sphere:
- It is a three dimension shape.
- It has a center.
- Volume=
, r is the radius of it.
- Surface area= 4πr².
Given that,
Ariel is filling a giant ball with air.
The ball is sphere in shape.
The volume of air = The volume of the ball.
The radius of the beach ball is 30 cm.
The volume of the ball is
cm³
=36,000π cm³
=113,142.85 cm³
The volume of the air that the beach ball will hold is 113,142.85 cm³.
Answer:
Option B.
Step-by-step explanation:
The given curve is
We need to find the area of the largest rectangle with lower base on the x-axis and upper vertices on the curve .
Let the vertex in quadrant I be (x,y), then the vertex in quadrant II is (-x,y) .
Length of the rectangle = 2x
Width of the rectangle = y
Area of a rectangle is
Substitute the value of y from the given equation.
.... (1)
Differentiate with respect to x.
Equate , to find the critical points.
Divide both sides by 6.
The value of x can not be negative because side length can not be negative.
Substitute x=3 in equation (1).
The area of the largest rectangle is 108 square units.
Therefore, the correct option is B.