Class 10

Surface Areas and Volumes question bank (Maths)

Practice 309 free Class 10 Maths - Surface Areas and Volumes questions with answers and step-by-step solutions.

Q1.

Rasheed got a playing top $(lattu)$ as his birthday present,which surprisingly had no colour on it. He wanted to colour it with his crayons. The top is shaped like a cone surmounted by a hemisphere (see figure). The entire top is $5 \, cm$ in height and the diameter of the top is $3.5 \, cm$. Find the area he has to colour (in $cm^2$). (Take $\pi = \frac{22}{7}$)

figure

(A)
$39.6$
(B)
$35.2$
(C)
$42.9$
(D)
$30$
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Q2.

The decorative block shown in the figure is made of two solids - a cube and a hemisphere. The base of the block is a cube with edge $5 \, cm$,and the hemisphere fixed on the top has a diameter of $4.2 \, cm$. Find the total surface area of the block. (in $cm^2$) (Take $\pi = \frac{22}{7}$)

figure

(A)
$172.56$
(B)
$163.86$
(C)
$189.63$
(D)
$159.82$
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