Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Mathematics : Surface Areas and Volumes

Short Answer Type

571. A circus tent is in the form of a right circular cylinder and a right circular cone above it. The diameter and the height of the cylindrical part of the tent are 126 m and 15 m respectively.
The total height of the tent is 21 m Find the total surface area of the tent.

open parentheses bold Use bold space bold pi bold space bold equals bold space bold 22 over bold 7 close parentheses

607 Views

572. A circus tent has cylindrical shape surmounted by a conical roof. The radius of the cylindrical base is 20 m. The heights of the cylindrical and conical portions are 4.2 m and 2.1 m respectively. Find the surface area of the tent.

320 Views

573. A tent of height 8.25 m is in the form of a right circular cylinder with diameter of base 30 m and height 5.5 m, surmounted by a right circular cone of the same base. Find the cost of canvas of the tent at the rate of Rs. 45 m².

320 Views

574. A tent is in the form of a cylinder of diameter 20 m and height 2.5 m, surmounted by a cone of equal base and height 7.5 m. Find the cost of the canvas at Rs. 100 per sq. metre.

230 Views

575. The interior of a building is in the form of a cylinder of base radius 12 m and height 3.5 m, surmounted by a cone of equal base and slant height 12.5 m. Find the internal curved surface area.

129 Views

576. A solid is composed of a cylinder with hemispherical ends. If the whole length of the solid is 98 cm and the diameter of each of its hemispherical ends is 28 cm, find the cost of polishing the surface area of the solid at the rate of 15 paise per sq. cm.

open parentheses bold Use bold space bold pi bold space bold 22 over bold 7 close parentheses

89 Views

577. A right triangle with sides 3 cm and 4 cm is revolved around its hypotenuse. Find the surface area of double cone thus generated.

78 Views

578. A conical table is drilled in a circular cylinder of height 24 cm and base radius 7 cm. The height and base radius of the cone is also the same. Find the volume of the remaining cylinder.

114 Views

579. The interior of a building is in the form of a right circular cylinder of diameter 4.2 m and height 4 m surmounted by a cone. The vertical height of the cone is 2.1 m. Find the volume of the building.

198 Views

580. The interior of a building is in the form of a cylinder of diameter 4.3 m and height 3.8 m, surmounted by a cone whose vertical angle is a right angle. Find the volume of the building.

1283 Views