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7

The volume of a right circular cylinder with its height equal to the radius is . Find the height of the cylinder.

74

Match the following columns:

Column I | Column II |

(a) A solid metallic sphere of radius 8 cm is melted and the material is used to make solid right cones with height 4 cm and radius of the base 8 cm. How many cones are formed? | (p) 18 |

(b) A 20-m-deep well with diameter 14 m is dug up and the earth from digging is evenly spread out to form a platform 44 m by 14 m. the height of the platform is…..m. | (q) 8 |

(c) A sphere of radius 6 cm is melted and recast into the shape of a cylinder of radius 4 cm. then the height of the cylinder is ….. cm. | (r) 16:9 |

(d) The volumes of two sphere are in the ratio 64:27. The ratio of their surface areas is ….. . | (s) 5 |

75

Match the following columns:

Column I | Column II |

(a) The radii of the circular ends of a bucket in the form of frustum of a cone of height 30 cm are 20 cm and 10 cm respectively. The capacity of the bucket is ….. cm | (p) 2418π |

(b) The radii of the circular ends of a conical bucket of height 15 cm are 28 and 20 cm respectively. The slant height of the bucket is …. cm. | (q) 22000 |

(c) The radii of the circular ends of a solid frustum of a cone are 33 cm and 27 cm and its slant height is 10 cm. The total surface area of the bucket is …. Cm | (r) 12 |

(d) Three solid metallic sphere of radii 3 cm, 4 cm and 5 cm are melted to form a single solid sphere. The diameter of the resulting sphere is … cm. | (s) 17 |