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High School (9–10)
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Areas and Perimeters
Surface Areas and Volumes
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Conceptual
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1.
A cone of height 24 cm is cut by a plane parallel to its base so that the small cone and the…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
2.
A cone is cut by a plane parallel to its base, half way up its height…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
3.
A solid metal frustum has bottom radius 9 cm, top radius 3 cm and height 12 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
4.
A bucket is a frustum with top radius 18 cm, bottom radius 6 cm and height 15 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
5.
A closed container is a frustum with bottom radius 10 cm, top radius 4 cm and height 8 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
6.
A jug is a frustum with top radius 7 cm, bottom radius 3.5 cm and height 12 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
7.
A bucket is open at the top, with top radius 15 cm and bottom radius 5 cm, and it is 24 cm high…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
8.
The frame of a lampshade is a frustum with bottom radius 20 cm, top radius 8 cm and height 9 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
9.
A cone has height 24 cm and base radius 10 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
10.
A frustum has bottom radius 11 cm, top radius 3 cm and height 6 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
StemPy Lab
Easy
11.
A cylindrical jar of radius 6 cm holds water to a depth of 9 cm…
New
High School (9–10) · Surface Areas and Volumes
SAT
SAT
StemPy Lab
Medium
12.
A well of radius 3 m is dug 7 m deep. The earth taken out is spread evenly to make a ring-shaped…
New
High School (9–10) · Surface Areas and Volumes
Olympiad
SAT
Olympiad
SAT
StemPy Lab
Hard
13.
Water flows through a pipe of radius 7 cm at a speed of 2 m/s into an empty cylindrical tank of…
New
High School (9–10) · Surface Areas and Volumes
SAT
SAT
StemPy Lab
Medium
14.
A solid metal ball of radius 12 cm is melted and made into 27 equal small balls…
New
High School (9–10) · Surface Areas and Volumes
Olympiad
SAT
Olympiad
SAT
StemPy Lab
Hard
15.
A solid metal cone has radius 12 cm and height 24 cm…
New
High School (9–10) · Surface Areas and Volumes
Olympiad
SAT
Olympiad
SAT
StemPy Lab
Hard
16.
A solid metal ball of radius 9 cm is melted and drawn into a wire of radius 1.5 mm…
New
High School (9–10) · Surface Areas and Volumes
StemPy Lab
Easy
17.
Three solid metal balls with radii 3 cm, 4 cm and 5 cm are melted and made into one ball…
New
High School (9–10) · Surface Areas and Volumes
SAT
SAT
StemPy Lab
Medium
18.
A solid wooden cylinder has radius 5 cm and height 12 cm…
New
High School (9–10) · Surface Areas and Volumes
SAT
SAT
StemPy Lab
Medium
19.
A capsule is a cylinder with a hemisphere at each end…
New
High School (9–10) · Surface Areas and Volumes
SAT
SAT
StemPy Lab
Medium
20.
A cone of height 15 cm and radius 4 cm is filled with ice cream…
New
High School (9–10) · Surface Areas and Volumes
StemPy Lab
Easy
21.
A trophy is a solid cylinder of radius 6 cm and height 15 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
22.
A hemispherical bowl of radius 4 cm is cut into the top face of a cube of edge 10 cm…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
23.
A tent has a cylinder part of radius 3.5 m and height 3 m…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
24.
A solid toy is a cone standing on a hemisphere…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Hard
25.
A capsule is a cylinder with a hemisphere on each end…
New
High School (9–10) · Surface Areas and Volumes
Board Exam
SAT
SAT
StemPy Lab
Medium
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