$A$ toy is in the form of a cone of radius $3.5 \, cm$ mounted on a hemisphere of the same radius. The total height of the toy is $15.5 \, cm$. Find the total surface area of the toy (in $cm^2$). $\left[ \text{Use } \pi = \frac{22}{7} \right]$

  • A
    $200$
  • B
    $220.5$
  • C
    $214.5$
  • D
    $250$

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Similar Questions

$A$ solid iron pole consists of a cylinder of height $220 \,cm$ and base diameter $24 \,cm$,which is surmounted by another cylinder of height $60 \,cm$ and radius $8 \,cm$. Find the mass of the pole,given that $1 \,cm^3$ of iron has approximately $8 \,g$ mass. (in $kg$) (Use $\pi = 3.14$)

$A$ well of diameter $3 \, m$ is dug $14 \, m$ deep. The earth taken out of it has been spread evenly all around it in the shape of a circular ring of width $4 \, m$ to form an embankment. Find the height of the embankment (in $m$). Take $\pi = \frac{22}{7}$.

$A$ cubical block of side $7 \, cm$ is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid (in $cm^2$). [Use $\pi = \frac{22}{7}$]

Hanumappa and his wife Gangamma are busy making jaggery out of sugarcane juice. They have processed the sugarcane juice to make the molasses,which is poured into moulds in the shape of a frustum of a cone having the diameters of its two circular faces as $30 \,cm$ and $35 \,cm$ and the vertical height of the mould is $14 \,cm$ (see figure). If each $cm^3$ of molasses has a mass of about $1.2 \,g$,find the mass of the molasses that can be poured into each mould (in $kg$). [Take $\pi = \frac{22}{7}$]

The slant height of a frustum of a cone is $4 \,cm$ and the perimeters (circumference) of its circular ends are $18 \,cm$ and $6 \,cm$. Find the curved surface area of the frustum in $cm^2$.

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