**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.**

# Archives for July 2013

## How to know if matrix is Invertible?

Any given **square matrix A** is said to be **Invertible** if its inverse exists. In other words, we can say that **square matrix A** is said to be **Invertible** if there exists another **square matrix B** such that where **I is an identity matrix** of same order as of A and B.

## Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 2

** **Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)

## Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.2 Question 1

**1.** A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of solid in terms of .

## Ncert Solutions Class 10th Chapter 13 Surface Areas and Volumes Exercise 13.1 Question 9

**9. **A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If, the height of the cylinder is 10 cm and its base is of radius 3.5 cm, find the total surface area of the article.

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