UPSKILL MATH PLUS
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Learn moreAnswer variants:
\(3 \pi r^2\)
\(2 \pi r^2\)
\(4 \pi r^2\)
\(4 \pi r^3\)
1. A right circular cylinder just enclose a sphere of radius \(r\) units.
Calculate:
(i) the surface area of the sphere sq. units
(ii) the curved surface area of the cylinder sq. units
(iii) the ratio of the areas obtained in (i) and (ii)
2. A shuttle cork used for playing badminton has the shape of a frustum of a cone is mounted on a hemisphere. The diameters of the frustum are \(5 \ cm\) and \(2 \ cm\). The height of the entire shuttle cork is \(7 \ cm\). Find its external surface area.
Answer:
The external surface area of the shuttle cork \(=\) \(cm^2\)
[Note: Round off your answer up to two decimal places.]
3. An oil funnel of tin sheet consists of a cylindrical portion \(10 \ cm\) long attached to a frustum of a cone. If the total height is \(22 \ cm\), the diameter of the cylindrical portion be \(8 \ cm\) and the diameter of the top of the funnel be \(18 \ cm\), then find the area of the tin sheet required to make the funnel.
Answer:
The area of the tin sheet required to make the funnel \(=\) \(cm^2\)
[Note: Round off your answer up to two decimal places.]