Surface Areas and Volumes

Important Questions

Q) The difference between the outer and inner radii of a hollow right circular cylinder of length 14 cm is 1 cm. If the volume of…

Read More »

Q) A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and…

Read More »

Q) The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends are 18 cm and 6…

Read More »

Q) 21 glass spheres, each of radius 2 cm are packed in a cuboidal box of internal dimensions 16 cm × 8 cm × 8…

Read More »

Q) A well of diameter 3m is dug 14m deep. The earth taken out of it has been evenly spread out in the form of…

Read More »

Q) A gulab jamun, contains sugar syrup up to about 30% of its volume. Find approximately how much syrup would be found in 45 gulab jamuns,…

Read More »

Q) A medicine capsule is in the shape of a cylinder with two hemispheres stuck to each of its ends. The length of the entire…

Read More »

Q: A group of students of class X visited India Gate on an education trip. The teacher and students had interest in history as well.…

Read More »

Q: On a Sunday, your Parents took you to a fair. You could see lot of toys displayed, and you wanted them to buy a…

Read More »

Q) The Great Stupa at Sanchi is one of the oldest stone structures in India, and an important monument of Indian Architecture. It was originally…

Read More »

Q)  Adventure camps are the perfect place for the children to practice decision making for themselves without parents and teachers guiding their every move. Some…

Read More »

Q) Solve the following quadratic equation by factorization method. Ans: Let’s find out the hidden quadratic equation: ∴  ∴  ∴ X (3 X – 5)…

Read More »

Q) Water in a canal, 8 m wide and 6 m deep, is flowing with a speed of 12 km/hour. How much area will it…

Read More »

Q) From a solid cylinder of height 30 cm and radius 7 cm, a conical cavity of height 24 cm and same radius is hollowed…

Read More »

Q) A rocket is in the form of a right circular cylinder closed at the lower end and surmounted by a cone with the same…

Read More »

Q) 150 spherical marbles, each of diameter 1.4 cm, are dropped in a cylindrical vessel of diameter 7 cm containing some water, which are completely…

Read More »

Q) Shanta runs an industry in a shed which was in the shape of a cuboid surmounted by half cylinder. The dimensions of the base…

Read More »

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…

Read More »

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…

Read More »

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

Read More »

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…

Read More »

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…

Read More »

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…

Read More »

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.…

Read More »

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…

Read More »

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…

Read More »

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

Read More »

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…

Read More »

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…

Read More »

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,…

Read More »
Scroll to Top