HARD
9th CBSE
IMPORTANT
Earn 100

Below here is a cricket ball and its cross-section. The diameter of the cricket ball is 7.2 cm.

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

Important Questions on Surface Areas and Volumes

HARD
9th CBSE
IMPORTANT

Shown below is a snow house, also known as an igloo. The house in the picture is hemispherical, having a floor area of 250 ft2.

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The curved surface area of the house is close to _____ ft2.

HARD
9th CBSE
IMPORTANT

Below is a small cuboidal fish tank of dimensions 12 cm×15 cm×20 cm, partially filled with water. The level of water in the fish tank is 16 cm.

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

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

HARD
9th CBSE
IMPORTANT

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.

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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)

HARD
9th CBSE
IMPORTANT

Shown below is a cylindrical tank of height 1.96 m and diameter 1 m. An inlet pipe of diameter 6 cm and an outlet pipe of diameter 4 cm are attached to the tank. The water is flowing into the water tank at a speed of 12 m/minute and it flows out at a speed of 6 m/minute.

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What is the volume of the water required to get the tank completely filled without spillage?

HARD
9th CBSE
IMPORTANT

Due to the incessant rains the height of the field 100 m × 50 m had reduced drastically. It was then decided to dig a pit of 10 m length and 5 m depth as shown in the figure and spread it out evenly on the remaining part of the field.

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What is the rise in the level of the remaining field?

HARD
9th CBSE
IMPORTANT

The circumference of the spherical shaped coconut below is 37.052 cm. The thickness of the shell including the edible part is 2 cm.

Estimate the amount of coconut water inside it, if it constitutes 60% of its inner volume.

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Which of these is the closest estimate of the amount of coconut water in the coconut?

HARD
9th CBSE
IMPORTANT

Shyam is assigned a project for which he needs to make an electromagnet. To make an electromagnet a copper wire with diameter 3 mm is wound to cover the curved surface area of the iron core cylinder, whose length is 12 cm and diameter is 6 cm.

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What is mass of the copper wire if its density of copper is 8.9 g/cc ?

HARD
9th CBSE
IMPORTANT

Below is the picture of an open well 42 ft deep and diameter 28 ft. The well needs to be plastered, and 50 kg cement is required to plaster 300 ft2

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