Answer:
The first step is to find the volume of the two hemispheres.
Step-by-step explanation:

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.
Volume of sphere


Volume of solid
= volume of cylinder -volume of 2 hemispheres
Let's find the volume of the cylinder.

Volume of cylinder


Thus, volume of solid




Answer:
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
Step-by-step explanation:
We are given
A small-appliance manufacturer finds that the profit P (in dollars) generated by producing x microwave ovens per week is given by the formula

provided that 0 ≤ x ≤ 200
We are given
profit is $1610
so, we can set P=1610
and then we can solve for x

Multiply both sides by 10




now, we can factor it

we can solve for x
and we get

Since, x=230 does not lie on 0 ≤ x ≤ 200
So, we will consider only x=70
So,
Number of ovens must be manufactured in a given week to generate a profit of $1610 is 70
(2j+7)(2j−7)
=(2j+7)(2j+−7)
=(2j)(2j)+(2j)(−7)+(7)(2j)+(7)(−7)
=4j2−14j+14j−49
=4j2−49
<em>when </em><em>both </em><em>l </em><em>and </em><em>m </em><em>are </em><em>parallel</em><em> </em><em>then </em>
<em>(</em><em>4</em><em>x</em><em>+</em><em>7</em><em>)</em><em> </em><em> </em><em>=</em><em> </em><em>(</em><em>6</em><em>x</em><em>-</em><em>6</em><em>3</em><em>)</em>
<em>-2x </em><em>=</em><em> </em><em>-</em><em>7</em><em>0</em>
<em>-</em><em>x </em><em>=</em><em> </em><em>-</em><em>7</em><em>0</em><em>/</em><em>2</em>
<em>-x </em><em>=</em><em> </em><em>-</em><em>3</em><em>5</em>
<em>x </em><em>=</em><em> </em><em>3</em><em>5</em>
<em>hope </em><em>it </em><em>helps</em><em> </em><em>and </em><em>ur </em><em>day </em><em>will </em><em>full </em><em>of </em><em>happiness</em>