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  • Sphere

Sphere

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  • Question 1:
    1 pts
    		Which expression can be used to find the volume of the sphere?

    $V=4R^{2}\pi$

    $V=\dfrac{4}{3}R^{3}\pi$

    $V=\dfrac{4}{3}R^{2}\pi$

    $V=\dfrac{1}{3}R^{2}\pi$

  • Question 2:
    1 pts
    		The following expression can be used to find the total surface area of the sphere. $$A=4R^{2}\pi$$
  • Question 3:
    1 pts
    		Find the volume of a sphere with a radius of $3 cm.$
    $V=$
  • Question 4:
    1 pts
    		Find the total surface area of the sphere with a radius of $7 cm.$
    $V=108\pi in. ^{2}$
    $V=169\pi cm ^{2}$
    $V=196\pi cm ^{2}$
  • Question 5:
    2 pts
    		Find the total surface area of the sphere shown on the picture.
    $A=144\pi cm ^{2}$
    $A=324\pi cm ^{2}$
    $A=224\pi cm ^{2}$
  • Question 6:
    1 pts
    		Find the volume of a sphere shown on the picture.
    $V=$
  • Question 7:
    2 pts
    		Which of the following expression can be used to find the total surface area of the hemisphere shown on the picture?
    $A=3\cdot 7^{2}\pi cm^{2}$
    $A=2\cdot 7^{2}\pi cm^{2}$
    $A=\dfrac{4}{3}\cdot 7^{2}\pi cm^{2}$
    $A=3\cdot 7^{3}\pi cm^{2}$
  • Question 8:
    2 pts
    		Which of the following expression can be used to find the volume of the sphere shown on the picture?
    $V=$
  • Question 9:
    3 pts
    		Basketballs used in professional games must have a circumference of 81 centimeters. What is the surface area of a basketball used in a professional game?

    $A=\pi\dfrac{81^{2}}{4\cdot \pi^{2}}$

    $A=4\pi\dfrac{81^{2}}{4\cdot \pi^{2}}$

    $A=2\pi\dfrac{81^{2}}{4\cdot \pi}$

    $A=4\pi\dfrac{81^{2}}{ \pi^{2}}$

  • Question 10:
    3 pts
    		We can use the following expression to find a ratio comparing the volume of a sphere with radius $r$ to the volume of a cylinder with radius$ r$ and height $2r.$ $$V_{sphere}:V_{cylinder}=\dfrac{\dfrac{4}{3}r^{3}\pi}{\pi r^{2} \cdot 2r}=\dfrac{2}{3}$$
  • Question 11:
    3 pts
    		If the area of the great circle of a sphere is $32m^{2}$,what is the surface area of the sphere?

    $A=64\pi m^{2}$

    $A=128 m^{2}$

    $A=128\pi^{2} m^{2}$

    $A=256\pi^{2} m^{2}$

  • Question 12:
    3 pts
    		If a sphere has radius $r$, there exists a cone with radius $r$ having the same volume.

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