HARD
9th CBSE
IMPORTANT
Earn 100

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?

50% studentsanswered this correctly

Important Questions on Surface Areas and Volumes

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?

HARD
9th CBSE
IMPORTANT

The height of the tent in the picture below is 3 m and its circumference is 25.12 m

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What is the minimum area of the canvas needed to make the tent? (Take π=3.14)

HARD
9th CBSE
IMPORTANT

Kiran took a circular piece of tin of radius 25 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.

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

HARD
9th CBSE
IMPORTANT

The stem and neck of the bottle below are cylindrical. The radii of the stem and the neck are 4 cm and 2 cm respectively. The level of water column when the bottle is upright and when the bottle is upside down are 24 cm and 36 cm respectively.

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What is the height of the bottle?

HARD
9th CBSE
IMPORTANT

Below is a log of wood, 10 ft long, and its cross-section with a grid box. Area of each grid is 1 square inch.

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What is the rought estimate of the volume of wood?

HARD
9th CBSE
IMPORTANT

Below is a spherical-shaped tent (not a hemisphere) made of canvas. It has a height of 8 ft and floor radius 12 ft. The curved surface area of the dome is given by the formula, 2πrh, where h is height of the dome and r is the radius of curvature of the dome.

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Find the minimum area of canvas required to make the tent.

HARD
9th CBSE
IMPORTANT

Kirti took a watermelon of circumference 44 cm and then cut out a piece, which is roughly 18 of the watermelon. 

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Estimate the area of the skin of the smaller piece.