## Surface Areas and Volumes

### Important Questions

Q) A tent is in the shape of a cylinder surmounted by a conical top. If the height and radius of the cylindrical part are…

Q) Water is flowing at the rate of 15 km/h through a pipe of diameter 14 cm into a cuboidal pond which is 50 m…

Q) A golf ball is spherical with about 300 – 500 dimples that help increase its velocity while in play. Golf balls are traditionally white…

Q) A wooden article was made by scooping out a hemisphere from each end of a solid cylinder, as shown in the figure. If the…

Q) From a solid cylinder of height 20 cm and diameter 12 cm, a conical cavity of height 8 cm and radius 6 cm is…

Q) Governing council of a local public development authority of Dehradun decided to build an adventurous playground on the top of a hill, which will…

Q) A student was asked to make a model like a cylinder with two cones attached to its ends by using a thin aluminium sheet.…

Q) Reeti prepares a rakhi for her brother Ronit. The Rakhi consists of a rectangle of length 8 cm and breadth 6 cm inscribed in…

Q) In a coffee shop, coffee is served in two types of cups. One is cylindrical in shape with diameter 7 cm and height 14…

Q) Can any rational value of x make the new area equal to 220cm2 ? Ans: If by increasing each dimension by x units, the…

Q) While designing the school year book, a teacher asked the student that the length and width of a particular photo is increased by x…

Q) A room is in the form of cylinder surmounted by a hemi-spherical dome. The base radius of hemisphere is one-half the height of cylindrical…

Q) An empty cone is of radius 3 cm and height 12 cm. Ice-cream is filled in it so that lower part of the cone,…