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Similar Question 1

<p>A storage tank will have a circular base of radius <code class='latex inline'>r</code> and a height of <code class='latex inline'>r</code>. The tank can be either cylindrical or hemispherical (half sphere).</p><p>a. Write and simplify an expression for the ratio of the volume of the hemispherical
tank to its surface area (including the base). For a sphere, V = 34—m3 and
SA = 47rr2.</p><p>b. Write and simplify an expression for the ratio of the volume of the cylindrical
tank to its surface area (including the bases).</p><p>c. Compare the ratios of volume to surface area for the two tanks.</p><p>d. Compare the volumes of the two tanks.</p><p>e. Describe how you used these ratios to compare the volumes of the two tanks.
Which measurement of the tanks determines the volumes?</p>

Similar Question 2

<p>Fred drove his car a distance of <code class='latex inline'>2x km</code> in 3 h. Later, he drove a distance of <code class='latex inline'>x + 100</code> km in 2h. Use the equation speed = <code class='latex inline'>\frac{distance}{time}</code></p><p>Write a simplified expression for the difference between the fist speed and the second speed.</p>

Similar Question 3

<p>An object has mass <code class='latex inline'>\displaystyle m = \frac{p+1}{3p + 1}</code> and density <code class='latex inline'>\displaystyle \rho = \frac{p^2 - 1}{9p^2 + 6p + 1}</code>. Determine its volume <code class='latex inline'>v</code>, where <code class='latex inline'>\displaystyle \rho = \frac{m}{v}</code>. State the restrictions on any variables. </p>

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Learning Path

L1
Quick Intro to Factoring Trinomial with Leading a

L2
Introduction to Factoring ax^2+bx+c

L3
Factoring ax^2+bx+c, ex1

Now You Try

<p>Newton's law of gravitation states that any two objects exert a gravitation al force on each other due to their masses, <code class='latex inline'>\displaystyle F_g = G\frac{m_1 m_2}{r^2}</code>, where <code class='latex inline'>F</code> is the gravitational force, <code class='latex inline'>G</code> is a constant (the universal gravitational constant), <code class='latex inline'>m_1</code> and <code class='latex inline'>m_2</code> are the masses of the objects, and <code class='latex inline'>r</code> is the separation distance between the centres of objects. The mass of Mercury is 2.2 times greater than the mass of Pluto. Pluto is 102.1 times as far from the Sun as Mercury. How many times greater is the gravitational force between the Sun and Mercury than the gravitational force between the Sun and Pluto?</p>

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