M L Aggarwal Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Exercise 14.1

Two cubes, each of side $4 \text{cm}$, are joined end to end. Find the surface area of the resulting cuboid?

When two hemispheres of diameter $14 \text{cm}$ each are joined face to face. Find the surface area of the solid so formed?

A cubical block of side $7\text{cm}$ is surmounted by a hemisphere. What is the greatest diameter that the hemisphere can have? Also find the surface area of the solid? 

A wooden article was made by scooping out a hemisphere from each end of the solid cylinder(as shown in the figure). If the height of the cylinder is $10 \text{cm}$ and its base is of radius $3.5\text{cm}$. Find the total surface area of the article?

From a solid cylinder of height $20\text{cm}$ and diameter $12\text{cm}$, a conical cavity of height $8\text{cm}$ and radius $6\text{cm}$ is hollowed out. Find the total surface area of the remaining solid?

From a solid cylinder of height $2.8\text{cm}$ and diameter $4.2\text{cm}$, a conical cavity of same height and same diameter is hollowed out. Find the total surface area of remaining solid?

Two cones of the same base radius $8\text{cm}$ and height $15\text{cm}$ are joined together along their bases. Find the surface area of the shape so formed?

A toy is in the shape of a solid cylinder surmounted by a conical top. If the height and the diameter of the cylinder part are $21\text{cm} \text{and} 40\text{cm}$respectively, and the height of the cone is $15\text{cm}$, then find the total surface area of the toy. Take $\mathrm{\pi }=3.14.$