Embibe Experts Solutions for Chapter: Surface Areas and Volumes, Exercise 1: Exercise

Below is a small cuboidal fish tank of dimensions $12 \mathrm{cm}\times 15 \mathrm{cm}\times 20 \mathrm{cm}$, partially filled with water. The level of water in the fish tank is $16 \mathrm{cm}$.

The fish tank is then kept in a different orientation as shown in the figure on the right side.

The height of the water in the fish tank is now is _____ $\mathrm{cm}$. (Give the answer correct up to one decimal place)

A welcome drink is served to the $100$ guests at a party. Each guest will get an equal portion of the drink in a cup as shown below.

According to the given measurement, the minimum quantity of the welcome drink required to serve all the guests once is _____ litres. (Write the answer up to one decimal)

Below is the picture of an open well $42 \mathrm{ft}$ deep and diameter $28 \mathrm{ft}$. The well needs to be plastered, and $50 \mathrm{kg}$ cement is required to plaster $300 {\mathrm{ft}}^2$. 

How much cement is required to plaster the wall of the well from top to bottom?

The height of the tent in the picture below is $3 \mathrm{m}$ and its circumference is $25.12 \mathrm{m}$. 

What is the minimum area of the canvas needed to make the tent? (Take $\mathrm{\pi }=3.14$)

Kiran took a circular piece of tin of radius $25 \mathrm{cm}$ and he removed a sector of tin of angle $144°$. He folded the remaining piece of tin into a cone (without a gap or overlap) such that the centre of the sector becomes the vertex of the cone, as shown in the figure below. Kiran then filled the cone with water.

How much water did he need to fill the cone completely?

Below here is a cricket ball and its cross-section. The diameter of the cricket ball is $7.2 \mathrm{cm}$.

Estimate the area of leather required to cover the cricket ball.