Bihar Board Class 10 (BSEB) Surface Areas and Volumes — practice questions — page 2

Explore 34 free Surface Areas and Volumes questions in Bihar Board Class 10 (BSEB) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Surface Areas and Volumes questions and exercises with answers

Showing questions 31–34 of 34.

A cylindrical bucket of height 14 cm and base radius 7 cm is full of water and is poured into a rectangular tank of base 22 cm × 14 cm. The height of water in the tank isRead the answer and worked solution →A hollow cylindrical pipe has outer radius 4 cm, inner radius 3 cm and height 10 cm. The volume of the material isRead the answer and worked solution →Match each solid to its shapeRead the answer and worked solution →True or false: solidsRead the answer and worked solution →

Worked practice questions

A cylindrical bucket of height 14 cm and base radius 7 cm is full of water and is poured into a rectangular tank of base 22 cm × 14 cm. The height of water in the tank is

22 cm
14 cm
7 cm
5 cm

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Correct answer: C. 7 cm

1. Water volume = (22/7) × 49 × 14 = 2156 cu cm. 2. Base area of tank = 22 × 14 = 308 sq cm. 3. Height of water = 2156/308 = 7 cm. _Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.3_

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A hollow cylindrical pipe has outer radius 4 cm, inner radius 3 cm and height 10 cm. The volume of the material is

100 pi cu cm
50 pi cu cm
90 pi cu cm
70 pi cu cm

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Correct answer: D. 70 pi cu cm

1. Material volume = pi × h × (R squared - r squared) = pi × 10 × (16 - 9). 2. = pi × 10 × 7. 3. = 70 pi cu cm. _Source: syllabus Mathematics, Ch 12 "Surface Areas and Volumes", §12.2_

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Match each solid to its shape

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Matching pairs

Left
Oil tanker
Right
A cylinder with two hemispheres on the ends
Left
Test tube
Right
A cylinder closed by one hemisphere
Left
Cube
Right
Six equal square faces
Left
Ice cream cone
Right
A cone topped by a hemisphere

Instructions

Tap an object on the left, then tap the combination it is made of.

_Source: syllabus Maths Ch12 Surface Areas and Volumes, SURFACE AREAS AND VOLUMES_

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