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  • Question 1
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    A solid in shape of a frustum is 21 cm high. Its radius of top is 10 cm and diameter of bottom is 30 cm. The volume of the solid is

  • Question 2
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    A spherical iron ball of radius $$9$$ cm is melted and recast into three spherical balls. If the radii of two balls are $$1$$ cm and $$8$$ cm, find the radius of the third ball.

  • Question 3
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    Given that the volume of a cone is $$\displaystyle 2355cm^{3}$$ and the area of its base is $$\displaystyle 314cm^{2}$$ Its height is

  • Question 4
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    A metallic sphere of radius $$10.5 cm$$ is melted and then recast into small cones each of radius $$3.5 cm$$ and height $$3 cm$$. The number of such cones is

  • Question 5
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    Fill in the blank:

    The volume of a frustum cone top and bottom area of a circle and height is given. Choose the formula which satisfy the given statement ________________.($$A_1, A_2 , h$$ are area of top circle, area of bottom circle and height of frustum respectively).

  • Question 6
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    Find the volume of the frustum cone whose base and top radius is 20 ft and 10 ft respectively. The height of the cone is 300 ft. (Use $$\pi$$ = 3). 

  • Question 7
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    A cone of height $$7$$ cm. and base radius $$3$$ cm. is carved from a rectangular block of wood of dimensions $$10 cm. \times 5 cm. \times 2$$ cm. The percentage of wood wasted is

  • Question 8
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    Find the volume of the frustum cone whose base and top radius is 11 in and 6 in respectively. The height of the cone is 36 in. (Use $$\pi$$ = 3.14). 

  • Question 9
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    The base and top diameter of a cone is 1.2 mm and 0.5 mm respectively. The height of the cone is 24 mm. What is the volume of frustum of a cone? (Use $$\pi$$ = 3).

  • Question 10
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    The volume of a frustum cone is 1,600 $$mm^3$$, whose base and upper area of a circle is 16 and 100 $$mm^2$$. Find the height of the cone.

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