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 the used in making the cylinder is 176 cm³, find the outer and inner radii of the cylinder. Ans. Let’s draw the diagram for the given question: Here, Cylinder […]
surface areas and volumes
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 the total height of the vessel is 13 cm. Find the inner surface area and the volume of the vessel. Ans. Let’s start with the diagram of the question: We
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 cm. Find the curved surface area of the frustum.Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand it better:Â Â [Note: Since a frustum is a
The slant height of a frustum of a cone is 4 cm and the perimeters of its circular ends 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 cm and, then the box is filled with water. Find the volume of water filled in the box. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question
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 a circular ring of width 4m to form an embankment. Find the height of the embankment. Ans: STEP BY STEP SOLUTION Let’s draw a diagram for this question to understand
Q)Â 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, each shaped like a cylinder with two hemispherical ends with length 5 cm and diameter 2.8 cm. Ans: STEP BY STEP SOLUTION Let’s understand the steps to calculate: First, we
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 capsule is 14 mm and the diameter of the capsule is 5 mm. Find its surface area. Ans: STEP BY STEP SOLUTION We reconstruct the diagram of capsule as combination
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. The teacher narrated that India Gate, official name Delhi Memorial, originally called All-India War Memorial, monumental sandstone arch in New Delhi, dedicated to the troops of British India who died
A group of students of class X visited India Gate on an education trip. The teacher and 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 RUBIK’s cube and strawberry ice-cream for you. Observe the figures and answer the questions:-  1. The length of the diagonal if each edge measures 6cm is a) 3√3. Â
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 commissioned by the emperor Ashoka in the 3rd century BCE. Its nucleus was a simple hemispherical brick structure built over the relics of the Buddha. .It is a perfect example